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Finding the Fourth Proportional to 31,877.99, 47,818.70 and 9,689.68

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Solution

The fourth proportional to 31,877.99, 47,818.70 and 9,689.68 is: 14,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.99 : 47,818.70 = 9,689.68 : x
  2. Step 2: Convert to fraction form
    31,877.99/47,818.70 = 9,689.68/x
  3. Step 3: Cross multiply
    31,877.99x = 47,818.70 × 9,689.68
  4. Step 4: Simplify right side
    31,877.99x = 463,347,975.49
  5. Step 5: Solve for x
    x = 463,347,975.49/31,877.99
  6. Step 6: Final answer
    x = 14,535.04

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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.