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Finding the Fourth Proportional to 30,931.55, 46,399.92 and 9,874.59

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Solution

The fourth proportional to 30,931.55, 46,399.92 and 9,874.59 is: 14,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.55 : 46,399.92 = 9,874.59 : x
  2. Step 2: Convert to fraction form
    30,931.55/46,399.92 = 9,874.59/x
  3. Step 3: Cross multiply
    30,931.55x = 46,399.92 × 9,874.59
  4. Step 4: Simplify right side
    30,931.55x = 458,180,186.03
  5. Step 5: Solve for x
    x = 458,180,186.03/30,931.55
  6. Step 6: Final answer
    x = 14,812.72

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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.