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Finding the Fourth Proportional to 7,614.72, 11,399.04 and 6,566.40

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Solution

The fourth proportional to 7,614.72, 11,399.04 and 6,566.40 is: 9,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.72 : 11,399.04 = 6,566.40 : x
  2. Step 2: Convert to fraction form
    7,614.72/11,399.04 = 6,566.40/x
  3. Step 3: Cross multiply
    7,614.72x = 11,399.04 × 6,566.40
  4. Step 4: Simplify right side
    7,614.72x = 74,850,656.26
  5. Step 5: Solve for x
    x = 74,850,656.26/7,614.72
  6. Step 6: Final answer
    x = 9,829.73

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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.