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Finding the Fourth Proportional to 15,420, 23,146.65 and 7,645.26

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Solution

The fourth proportional to 15,420, 23,146.65 and 7,645.26 is: 11,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420 : 23,146.65 = 7,645.26 : x
  2. Step 2: Convert to fraction form
    15,420/23,146.65 = 7,645.26/x
  3. Step 3: Cross multiply
    15,420x = 23,146.65 × 7,645.26
  4. Step 4: Simplify right side
    15,420x = 176,962,157.38
  5. Step 5: Solve for x
    x = 176,962,157.38/15,420
  6. Step 6: Final answer
    x = 11,476.15

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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.