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Finding the Fourth Proportional to 8,642.56, 11,942.88 and 7,070.08

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Solution

The fourth proportional to 8,642.56, 11,942.88 and 7,070.08 is: 9,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.56 : 11,942.88 = 7,070.08 : x
  2. Step 2: Convert to fraction form
    8,642.56/11,942.88 = 7,070.08/x
  3. Step 3: Cross multiply
    8,642.56x = 11,942.88 × 7,070.08
  4. Step 4: Simplify right side
    8,642.56x = 84,437,117.03
  5. Step 5: Solve for x
    x = 84,437,117.03/8,642.56
  6. Step 6: Final answer
    x = 9,769.92

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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.