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Finding the Fourth Proportional to 10,649.08, 14,691.54 and 7,114.60

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Solution

The fourth proportional to 10,649.08, 14,691.54 and 7,114.60 is: 9,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.08 : 14,691.54 = 7,114.60 : x
  2. Step 2: Convert to fraction form
    10,649.08/14,691.54 = 7,114.60/x
  3. Step 3: Cross multiply
    10,649.08x = 14,691.54 × 7,114.60
  4. Step 4: Simplify right side
    10,649.08x = 104,524,430.48
  5. Step 5: Solve for x
    x = 104,524,430.48/10,649.08
  6. Step 6: Final answer
    x = 9,815.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.