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Finding the Fourth Proportional to 6,666.90, 9,209.10 and 5,114.16

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Solution

The fourth proportional to 6,666.90, 9,209.10 and 5,114.16 is: 7,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.90 : 9,209.10 = 5,114.16 : x
  2. Step 2: Convert to fraction form
    6,666.90/9,209.10 = 5,114.16/x
  3. Step 3: Cross multiply
    6,666.90x = 9,209.10 × 5,114.16
  4. Step 4: Simplify right side
    6,666.90x = 47,096,810.86
  5. Step 5: Solve for x
    x = 47,096,810.86/6,666.90
  6. Step 6: Final answer
    x = 7,064.27

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1.5x scale

Why These Related Problems?

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