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Finding the Fourth Proportional to 35,406.80, 53,129.40 and 15,688.40

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Solution

The fourth proportional to 35,406.80, 53,129.40 and 15,688.40 is: 23,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.80 : 53,129.40 = 15,688.40 : x
  2. Step 2: Convert to fraction form
    35,406.80/53,129.40 = 15,688.40/x
  3. Step 3: Cross multiply
    35,406.80x = 53,129.40 × 15,688.40
  4. Step 4: Simplify right side
    35,406.80x = 833,515,278.96
  5. Step 5: Solve for x
    x = 833,515,278.96/35,406.80
  6. Step 6: Final answer
    x = 23,541.11

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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.