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Finding the Fourth Proportional to 7,878.17, 11,817.27 and 7,397.03

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Solution

The fourth proportional to 7,878.17, 11,817.27 and 7,397.03 is: 11,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.17 : 11,817.27 = 7,397.03 : x
  2. Step 2: Convert to fraction form
    7,878.17/11,817.27 = 7,397.03/x
  3. Step 3: Cross multiply
    7,878.17x = 11,817.27 × 7,397.03
  4. Step 4: Simplify right side
    7,878.17x = 87,412,700.71
  5. Step 5: Solve for x
    x = 87,412,700.71/7,878.17
  6. Step 6: Final answer
    x = 11,095.56

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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.