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Finding the Fourth Proportional to 6,666.90, 9,985.14 and 5,719.20

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Solution

The fourth proportional to 6,666.90, 9,985.14 and 5,719.20 is: 8,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.90 : 9,985.14 = 5,719.20 : x
  2. Step 2: Convert to fraction form
    6,666.90/9,985.14 = 5,719.20/x
  3. Step 3: Cross multiply
    6,666.90x = 9,985.14 × 5,719.20
  4. Step 4: Simplify right side
    6,666.90x = 57,107,012.69
  5. Step 5: Solve for x
    x = 57,107,012.69/6,666.90
  6. Step 6: Final answer
    x = 8,565.75

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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.