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Finding the Fourth Proportional to 8,642.64, 11,900.68 and 7,242.96

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Solution

The fourth proportional to 8,642.64, 11,900.68 and 7,242.96 is: 9,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.64 : 11,900.68 = 7,242.96 : x
  2. Step 2: Convert to fraction form
    8,642.64/11,900.68 = 7,242.96/x
  3. Step 3: Cross multiply
    8,642.64x = 11,900.68 × 7,242.96
  4. Step 4: Simplify right side
    8,642.64x = 86,196,149.21
  5. Step 5: Solve for x
    x = 86,196,149.21/8,642.64
  6. Step 6: Final answer
    x = 9,973.36

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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.