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Finding the Fourth Proportional to 10,312.20, 15,534 and 9,415.53

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Solution

The fourth proportional to 10,312.20, 15,534 and 9,415.53 is: 14,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.20 : 15,534 = 9,415.53 : x
  2. Step 2: Convert to fraction form
    10,312.20/15,534 = 9,415.53/x
  3. Step 3: Cross multiply
    10,312.20x = 15,534 × 9,415.53
  4. Step 4: Simplify right side
    10,312.20x = 146,260,843.02
  5. Step 5: Solve for x
    x = 146,260,843.02/10,312.20
  6. Step 6: Final answer
    x = 14,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.