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Finding the Fourth Proportional to 15,300, 22,928.10 and 8,712.59

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Solution

The fourth proportional to 15,300, 22,928.10 and 8,712.59 is: 13,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300 : 22,928.10 = 8,712.59 : x
  2. Step 2: Convert to fraction form
    15,300/22,928.10 = 8,712.59/x
  3. Step 3: Cross multiply
    15,300x = 22,928.10 × 8,712.59
  4. Step 4: Simplify right side
    15,300x = 199,763,020.14
  5. Step 5: Solve for x
    x = 199,763,020.14/15,300
  6. Step 6: Final answer
    x = 13,056.41

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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.