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Finding the Fourth Proportional to 7,878.17, 11,802.12 and 7,614.38

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Solution

The fourth proportional to 7,878.17, 11,802.12 and 7,614.38 is: 11,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.17 : 11,802.12 = 7,614.38 : x
  2. Step 2: Convert to fraction form
    7,878.17/11,802.12 = 7,614.38/x
  3. Step 3: Cross multiply
    7,878.17x = 11,802.12 × 7,614.38
  4. Step 4: Simplify right side
    7,878.17x = 89,865,767.48
  5. Step 5: Solve for x
    x = 89,865,767.48/7,878.17
  6. Step 6: Final answer
    x = 11,406.94

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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.