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Finding the Fourth Proportional to 31,385.01, 47,077.45 and 8,011.45

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Solution

The fourth proportional to 31,385.01, 47,077.45 and 8,011.45 is: 12,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.01 : 47,077.45 = 8,011.45 : x
  2. Step 2: Convert to fraction form
    31,385.01/47,077.45 = 8,011.45/x
  3. Step 3: Cross multiply
    31,385.01x = 47,077.45 × 8,011.45
  4. Step 4: Simplify right side
    31,385.01x = 377,158,499.08
  5. Step 5: Solve for x
    x = 377,158,499.08/31,385.01
  6. Step 6: Final answer
    x = 12,017.15

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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.