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Finding the Fourth Proportional to 10,412.78, 15,653.00 and 8,355.29

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Solution

The fourth proportional to 10,412.78, 15,653.00 and 8,355.29 is: 12,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.78 : 15,653.00 = 8,355.29 : x
  2. Step 2: Convert to fraction form
    10,412.78/15,653.00 = 8,355.29/x
  3. Step 3: Cross multiply
    10,412.78x = 15,653.00 × 8,355.29
  4. Step 4: Simplify right side
    10,412.78x = 130,785,316.03
  5. Step 5: Solve for x
    x = 130,785,316.03/10,412.78
  6. Step 6: Final answer
    x = 12,560.08

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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.