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Finding the Fourth Proportional to 12,913.43, 17,820 and 7,248.29

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Solution

The fourth proportional to 12,913.43, 17,820 and 7,248.29 is: 10,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.43 : 17,820 = 7,248.29 : x
  2. Step 2: Convert to fraction form
    12,913.43/17,820 = 7,248.29/x
  3. Step 3: Cross multiply
    12,913.43x = 17,820 × 7,248.29
  4. Step 4: Simplify right side
    12,913.43x = 129,164,438.70
  5. Step 5: Solve for x
    x = 129,164,438.70/12,913.43
  6. Step 6: Final answer
    x = 10,002.34

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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.