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Finding the Fourth Proportional to 8,470.75, 11,689.64 and 5,158.75

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Solution

The fourth proportional to 8,470.75, 11,689.64 and 5,158.75 is: 7,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.75 : 11,689.64 = 5,158.75 : x
  2. Step 2: Convert to fraction form
    8,470.75/11,689.64 = 5,158.75/x
  3. Step 3: Cross multiply
    8,470.75x = 11,689.64 × 5,158.75
  4. Step 4: Simplify right side
    8,470.75x = 60,303,930.35
  5. Step 5: Solve for x
    x = 60,303,930.35/8,470.75
  6. Step 6: Final answer
    x = 7,119.08

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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.