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Finding the Fourth Proportional to 7,689, 10,614.66 and 5,484.84

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Solution

The fourth proportional to 7,689, 10,614.66 and 5,484.84 is: 7,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 10,614.66 = 5,484.84 : x
  2. Step 2: Convert to fraction form
    7,689/10,614.66 = 5,484.84/x
  3. Step 3: Cross multiply
    7,689x = 10,614.66 × 5,484.84
  4. Step 4: Simplify right side
    7,689x = 58,219,711.75
  5. Step 5: Solve for x
    x = 58,219,711.75/7,689
  6. Step 6: Final answer
    x = 7,571.82

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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.