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Finding the Fourth Proportional to 22,630.35, 31,228.70 and 12,558

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Solution

The fourth proportional to 22,630.35, 31,228.70 and 12,558 is: 17,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630.35 : 31,228.70 = 12,558 : x
  2. Step 2: Convert to fraction form
    22,630.35/31,228.70 = 12,558/x
  3. Step 3: Cross multiply
    22,630.35x = 31,228.70 × 12,558
  4. Step 4: Simplify right side
    22,630.35x = 392,169,951.81
  5. Step 5: Solve for x
    x = 392,169,951.81/22,630.35
  6. Step 6: Final answer
    x = 17,329.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.