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Finding the Fourth Proportional to 13,153.76, 18,151.24 and 7,184.16

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Solution

The fourth proportional to 13,153.76, 18,151.24 and 7,184.16 is: 9,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.76 : 18,151.24 = 7,184.16 : x
  2. Step 2: Convert to fraction form
    13,153.76/18,151.24 = 7,184.16/x
  3. Step 3: Cross multiply
    13,153.76x = 18,151.24 × 7,184.16
  4. Step 4: Simplify right side
    13,153.76x = 130,401,407.87
  5. Step 5: Solve for x
    x = 130,401,407.87/13,153.76
  6. Step 6: Final answer
    x = 9,913.62

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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.