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Finding the Fourth Proportional to 8,478.81, 11,689.25 and 7,150.19

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Solution

The fourth proportional to 8,478.81, 11,689.25 and 7,150.19 is: 9,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.81 : 11,689.25 = 7,150.19 : x
  2. Step 2: Convert to fraction form
    8,478.81/11,689.25 = 7,150.19/x
  3. Step 3: Cross multiply
    8,478.81x = 11,689.25 × 7,150.19
  4. Step 4: Simplify right side
    8,478.81x = 83,580,264.26
  5. Step 5: Solve for x
    x = 83,580,264.26/8,478.81
  6. Step 6: Final answer
    x = 9,857.55

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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.