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Finding the Fourth Proportional to 31,808.60, 47,712.90 and 8,116.10

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Solution

The fourth proportional to 31,808.60, 47,712.90 and 8,116.10 is: 12,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.60 : 47,712.90 = 8,116.10 : x
  2. Step 2: Convert to fraction form
    31,808.60/47,712.90 = 8,116.10/x
  3. Step 3: Cross multiply
    31,808.60x = 47,712.90 × 8,116.10
  4. Step 4: Simplify right side
    31,808.60x = 387,242,667.69
  5. Step 5: Solve for x
    x = 387,242,667.69/31,808.60
  6. Step 6: Final answer
    x = 12,174.15

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1.5x scale

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.