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Finding the Fourth Proportional to 15,339.07, 22,978.54 and 7,948.38

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Solution

The fourth proportional to 15,339.07, 22,978.54 and 7,948.38 is: 11,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339.07 : 22,978.54 = 7,948.38 : x
  2. Step 2: Convert to fraction form
    15,339.07/22,978.54 = 7,948.38/x
  3. Step 3: Cross multiply
    15,339.07x = 22,978.54 × 7,948.38
  4. Step 4: Simplify right side
    15,339.07x = 182,642,089.91
  5. Step 5: Solve for x
    x = 182,642,089.91/15,339.07
  6. Step 6: Final answer
    x = 11,906.98

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1.5x scale

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.