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Finding the Fourth Proportional to 10,487.78, 15,703.62 and 8,827.03

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Solution

The fourth proportional to 10,487.78, 15,703.62 and 8,827.03 is: 13,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.78 : 15,703.62 = 8,827.03 : x
  2. Step 2: Convert to fraction form
    10,487.78/15,703.62 = 8,827.03/x
  3. Step 3: Cross multiply
    10,487.78x = 15,703.62 × 8,827.03
  4. Step 4: Simplify right side
    10,487.78x = 138,616,272.70
  5. Step 5: Solve for x
    x = 138,616,272.70/10,487.78
  6. Step 6: Final answer
    x = 13,216.93

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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.