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Finding the Fourth Proportional to 39,784.64, 59,640.03 and 13,470.98

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Solution

The fourth proportional to 39,784.64, 59,640.03 and 13,470.98 is: 20,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784.64 : 59,640.03 = 13,470.98 : x
  2. Step 2: Convert to fraction form
    39,784.64/59,640.03 = 13,470.98/x
  3. Step 3: Cross multiply
    39,784.64x = 59,640.03 × 13,470.98
  4. Step 4: Simplify right side
    39,784.64x = 803,409,353.13
  5. Step 5: Solve for x
    x = 803,409,353.13/39,784.64
  6. Step 6: Final answer
    x = 20,193.96

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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.