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Finding the Fourth Proportional to 35,639.87, 53,472.02 and 13,459.64

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Solution

The fourth proportional to 35,639.87, 53,472.02 and 13,459.64 is: 20,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,639.87 : 53,472.02 = 13,459.64 : x
  2. Step 2: Convert to fraction form
    35,639.87/53,472.02 = 13,459.64/x
  3. Step 3: Cross multiply
    35,639.87x = 53,472.02 × 13,459.64
  4. Step 4: Simplify right side
    35,639.87x = 719,713,804.61
  5. Step 5: Solve for x
    x = 719,713,804.61/35,639.87
  6. Step 6: Final answer
    x = 20,194.07

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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.