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Finding the Fourth Proportional to 15,209.40, 22,835.70 and 9,377.40

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Solution

The fourth proportional to 15,209.40, 22,835.70 and 9,377.40 is: 14,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.40 : 22,835.70 = 9,377.40 : x
  2. Step 2: Convert to fraction form
    15,209.40/22,835.70 = 9,377.40/x
  3. Step 3: Cross multiply
    15,209.40x = 22,835.70 × 9,377.40
  4. Step 4: Simplify right side
    15,209.40x = 214,139,493.18
  5. Step 5: Solve for x
    x = 214,139,493.18/15,209.40
  6. Step 6: Final answer
    x = 14,079.42

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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.