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Finding the Fourth Proportional to 7,728.34, 10,661.16 and 4,890.92

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Solution

The fourth proportional to 7,728.34, 10,661.16 and 4,890.92 is: 6,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.34 : 10,661.16 = 4,890.92 : x
  2. Step 2: Convert to fraction form
    7,728.34/10,661.16 = 4,890.92/x
  3. Step 3: Cross multiply
    7,728.34x = 10,661.16 × 4,890.92
  4. Step 4: Simplify right side
    7,728.34x = 52,142,880.67
  5. Step 5: Solve for x
    x = 52,142,880.67/7,728.34
  6. Step 6: Final answer
    x = 6,746.97

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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.