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Finding the Fourth Proportional to 31,892.60, 47,838.90 and 9,705.80

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Solution

The fourth proportional to 31,892.60, 47,838.90 and 9,705.80 is: 14,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.60 : 47,838.90 = 9,705.80 : x
  2. Step 2: Convert to fraction form
    31,892.60/47,838.90 = 9,705.80/x
  3. Step 3: Cross multiply
    31,892.60x = 47,838.90 × 9,705.80
  4. Step 4: Simplify right side
    31,892.60x = 464,314,795.62
  5. Step 5: Solve for x
    x = 464,314,795.62/31,892.60
  6. Step 6: Final answer
    x = 14,558.70

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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.