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Finding the Fourth Proportional to 11,501.76, 15,880.14 and 7,730.55

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Solution

The fourth proportional to 11,501.76, 15,880.14 and 7,730.55 is: 10,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.76 : 15,880.14 = 7,730.55 : x
  2. Step 2: Convert to fraction form
    11,501.76/15,880.14 = 7,730.55/x
  3. Step 3: Cross multiply
    11,501.76x = 15,880.14 × 7,730.55
  4. Step 4: Simplify right side
    11,501.76x = 122,762,216.28
  5. Step 5: Solve for x
    x = 122,762,216.28/11,501.76
  6. Step 6: Final answer
    x = 10,673.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.