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Finding the Fourth Proportional to 10,998.81, 15,157.80 and 7,849.53

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Solution

The fourth proportional to 10,998.81, 15,157.80 and 7,849.53 is: 10,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.81 : 15,157.80 = 7,849.53 : x
  2. Step 2: Convert to fraction form
    10,998.81/15,157.80 = 7,849.53/x
  3. Step 3: Cross multiply
    10,998.81x = 15,157.80 × 7,849.53
  4. Step 4: Simplify right side
    10,998.81x = 118,981,605.83
  5. Step 5: Solve for x
    x = 118,981,605.83/10,998.81
  6. Step 6: Final answer
    x = 10,817.68

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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.