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Finding the Fourth Proportional to 10,078.08, 15,102 and 7,877.04

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Solution

The fourth proportional to 10,078.08, 15,102 and 7,877.04 is: 11,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.08 : 15,102 = 7,877.04 : x
  2. Step 2: Convert to fraction form
    10,078.08/15,102 = 7,877.04/x
  3. Step 3: Cross multiply
    10,078.08x = 15,102 × 7,877.04
  4. Step 4: Simplify right side
    10,078.08x = 118,959,058.08
  5. Step 5: Solve for x
    x = 118,959,058.08/10,078.08
  6. Step 6: Final answer
    x = 11,803.74

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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.