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Finding the Fourth Proportional to 39,423, 59,131.80 and 9,840.18

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Solution

The fourth proportional to 39,423, 59,131.80 and 9,840.18 is: 14,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,423 : 59,131.80 = 9,840.18 : x
  2. Step 2: Convert to fraction form
    39,423/59,131.80 = 9,840.18/x
  3. Step 3: Cross multiply
    39,423x = 59,131.80 × 9,840.18
  4. Step 4: Simplify right side
    39,423x = 581,867,555.72
  5. Step 5: Solve for x
    x = 581,867,555.72/39,423
  6. Step 6: Final answer
    x = 14,759.60

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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.