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Finding the Fourth Proportional to 39,357, 59,037.12 and 11,655

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Solution

The fourth proportional to 39,357, 59,037.12 and 11,655 is: 17,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,357 : 59,037.12 = 11,655 : x
  2. Step 2: Convert to fraction form
    39,357/59,037.12 = 11,655/x
  3. Step 3: Cross multiply
    39,357x = 59,037.12 × 11,655
  4. Step 4: Simplify right side
    39,357x = 688,077,633.60
  5. Step 5: Solve for x
    x = 688,077,633.60/39,357
  6. Step 6: Final answer
    x = 17,482.98

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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.