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Finding the Fourth Proportional to 8,988.16, 12,399.36 and 7,744

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Solution

The fourth proportional to 8,988.16, 12,399.36 and 7,744 is: 10,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,988.16 : 12,399.36 = 7,744 : x
  2. Step 2: Convert to fraction form
    8,988.16/12,399.36 = 7,744/x
  3. Step 3: Cross multiply
    8,988.16x = 12,399.36 × 7,744
  4. Step 4: Simplify right side
    8,988.16x = 96,020,643.84
  5. Step 5: Solve for x
    x = 96,020,643.84/8,988.16
  6. Step 6: Final answer
    x = 10,683.01

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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.