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Finding the Fourth Proportional to 15,013, 20,722.80 and 9,424

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Solution

The fourth proportional to 15,013, 20,722.80 and 9,424 is: 13,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013 : 20,722.80 = 9,424 : x
  2. Step 2: Convert to fraction form
    15,013/20,722.80 = 9,424/x
  3. Step 3: Cross multiply
    15,013x = 20,722.80 × 9,424
  4. Step 4: Simplify right side
    15,013x = 195,291,667.20
  5. Step 5: Solve for x
    x = 195,291,667.20/15,013
  6. Step 6: Final answer
    x = 13,008.17

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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.