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Finding the Fourth Proportional to 15,437.76, 23,147.88 and 4,905.76

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Solution

The fourth proportional to 15,437.76, 23,147.88 and 4,905.76 is: 7,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,437.76 : 23,147.88 = 4,905.76 : x
  2. Step 2: Convert to fraction form
    15,437.76/23,147.88 = 4,905.76/x
  3. Step 3: Cross multiply
    15,437.76x = 23,147.88 × 4,905.76
  4. Step 4: Simplify right side
    15,437.76x = 113,557,943.79
  5. Step 5: Solve for x
    x = 113,557,943.79/15,437.76
  6. Step 6: Final answer
    x = 7,355.86

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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.