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Finding the Fourth Proportional to 39,394, 59,090.89 and 9,811.86

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Solution

The fourth proportional to 39,394, 59,090.89 and 9,811.86 is: 14,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394 : 59,090.89 = 9,811.86 : x
  2. Step 2: Convert to fraction form
    39,394/59,090.89 = 9,811.86/x
  3. Step 3: Cross multiply
    39,394x = 59,090.89 × 9,811.86
  4. Step 4: Simplify right side
    39,394x = 579,791,539.96
  5. Step 5: Solve for x
    x = 579,791,539.96/39,394
  6. Step 6: Final answer
    x = 14,717.76

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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.