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Finding the Fourth Proportional to 31,752.60, 47,630.88 and 8,379.06

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Solution

The fourth proportional to 31,752.60, 47,630.88 and 8,379.06 is: 12,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.60 : 47,630.88 = 8,379.06 : x
  2. Step 2: Convert to fraction form
    31,752.60/47,630.88 = 8,379.06/x
  3. Step 3: Cross multiply
    31,752.60x = 47,630.88 × 8,379.06
  4. Step 4: Simplify right side
    31,752.60x = 399,102,001.37
  5. Step 5: Solve for x
    x = 399,102,001.37/31,752.60
  6. Step 6: Final answer
    x = 12,569.11

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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.