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Finding the Fourth Proportional to 15,355.76, 23,040.12 and 7,564.64

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Solution

The fourth proportional to 15,355.76, 23,040.12 and 7,564.64 is: 11,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,355.76 : 23,040.12 = 7,564.64 : x
  2. Step 2: Convert to fraction form
    15,355.76/23,040.12 = 7,564.64/x
  3. Step 3: Cross multiply
    15,355.76x = 23,040.12 × 7,564.64
  4. Step 4: Simplify right side
    15,355.76x = 174,290,213.36
  5. Step 5: Solve for x
    x = 174,290,213.36/15,355.76
  6. Step 6: Final answer
    x = 11,350.15

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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.