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Finding the Fourth Proportional to 15,098, 20,835.24 and 8,810.42

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Solution

The fourth proportional to 15,098, 20,835.24 and 8,810.42 is: 12,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098 : 20,835.24 = 8,810.42 : x
  2. Step 2: Convert to fraction form
    15,098/20,835.24 = 8,810.42/x
  3. Step 3: Cross multiply
    15,098x = 20,835.24 × 8,810.42
  4. Step 4: Simplify right side
    15,098x = 183,567,215.20
  5. Step 5: Solve for x
    x = 183,567,215.20/15,098
  6. Step 6: Final answer
    x = 12,158.38

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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.