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Finding the Fourth Proportional to 10,662.90, 15,999.15 and 5,114.10

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Solution

The fourth proportional to 10,662.90, 15,999.15 and 5,114.10 is: 7,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.90 : 15,999.15 = 5,114.10 : x
  2. Step 2: Convert to fraction form
    10,662.90/15,999.15 = 5,114.10/x
  3. Step 3: Cross multiply
    10,662.90x = 15,999.15 × 5,114.10
  4. Step 4: Simplify right side
    10,662.90x = 81,821,253.02
  5. Step 5: Solve for x
    x = 81,821,253.02/10,662.90
  6. Step 6: Final answer
    x = 7,673.45

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1.5x scale

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.