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Finding the Fourth Proportional to 7,678.98, 11,532.33 and 7,061.55

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Solution

The fourth proportional to 7,678.98, 11,532.33 and 7,061.55 is: 10,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.98 : 11,532.33 = 7,061.55 : x
  2. Step 2: Convert to fraction form
    7,678.98/11,532.33 = 7,061.55/x
  3. Step 3: Cross multiply
    7,678.98x = 11,532.33 × 7,061.55
  4. Step 4: Simplify right side
    7,678.98x = 81,436,124.91
  5. Step 5: Solve for x
    x = 81,436,124.91/7,678.98
  6. Step 6: Final answer
    x = 10,605.07

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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.