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Finding the Fourth Proportional to 31,916.70, 47,862.90 and 9,722.70

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Solution

The fourth proportional to 31,916.70, 47,862.90 and 9,722.70 is: 14,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.70 : 47,862.90 = 9,722.70 : x
  2. Step 2: Convert to fraction form
    31,916.70/47,862.90 = 9,722.70/x
  3. Step 3: Cross multiply
    31,916.70x = 47,862.90 × 9,722.70
  4. Step 4: Simplify right side
    31,916.70x = 465,356,617.83
  5. Step 5: Solve for x
    x = 465,356,617.83/31,916.70
  6. Step 6: Final answer
    x = 14,580.35

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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.