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Finding the Fourth Proportional to 10,172.16, 15,243.52 and 4,972.16

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Solution

The fourth proportional to 10,172.16, 15,243.52 and 4,972.16 is: 7,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.16 : 15,243.52 = 4,972.16 : x
  2. Step 2: Convert to fraction form
    10,172.16/15,243.52 = 4,972.16/x
  3. Step 3: Cross multiply
    10,172.16x = 15,243.52 × 4,972.16
  4. Step 4: Simplify right side
    10,172.16x = 75,793,220.40
  5. Step 5: Solve for x
    x = 75,793,220.40/10,172.16
  6. Step 6: Final answer
    x = 7,451.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.