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Finding the Fourth Proportional to 10,412.78, 15,608.05 and 4,859.66

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Solution

The fourth proportional to 10,412.78, 15,608.05 and 4,859.66 is: 7,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.78 : 15,608.05 = 4,859.66 : x
  2. Step 2: Convert to fraction form
    10,412.78/15,608.05 = 4,859.66/x
  3. Step 3: Cross multiply
    10,412.78x = 15,608.05 × 4,859.66
  4. Step 4: Simplify right side
    10,412.78x = 75,849,816.26
  5. Step 5: Solve for x
    x = 75,849,816.26/10,412.78
  6. Step 6: Final answer
    x = 7,284.30

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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.