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Finding the Fourth Proportional to 10,778.68, 14,869.38 and 7,247.08

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Solution

The fourth proportional to 10,778.68, 14,869.38 and 7,247.08 is: 9,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.68 : 14,869.38 = 7,247.08 : x
  2. Step 2: Convert to fraction form
    10,778.68/14,869.38 = 7,247.08/x
  3. Step 3: Cross multiply
    10,778.68x = 14,869.38 × 7,247.08
  4. Step 4: Simplify right side
    10,778.68x = 107,759,586.41
  5. Step 5: Solve for x
    x = 107,759,586.41/10,778.68
  6. Step 6: Final answer
    x = 9,997.48

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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.