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Finding the Fourth Proportional to 15,145, 22,712.63 and 5,011.49

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Solution

The fourth proportional to 15,145, 22,712.63 and 5,011.49 is: 7,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145 : 22,712.63 = 5,011.49 : x
  2. Step 2: Convert to fraction form
    15,145/22,712.63 = 5,011.49/x
  3. Step 3: Cross multiply
    15,145x = 22,712.63 × 5,011.49
  4. Step 4: Simplify right side
    15,145x = 113,824,118.12
  5. Step 5: Solve for x
    x = 113,824,118.12/15,145
  6. Step 6: Final answer
    x = 7,515.62

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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.