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Finding the Fourth Proportional to 35,908, 53,862 and 12,528.16

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Solution

The fourth proportional to 35,908, 53,862 and 12,528.16 is: 18,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,908 : 53,862 = 12,528.16 : x
  2. Step 2: Convert to fraction form
    35,908/53,862 = 12,528.16/x
  3. Step 3: Cross multiply
    35,908x = 53,862 × 12,528.16
  4. Step 4: Simplify right side
    35,908x = 674,791,753.92
  5. Step 5: Solve for x
    x = 674,791,753.92/35,908
  6. Step 6: Final answer
    x = 18,792.24

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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.