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Finding the Fourth Proportional to 8,470.57, 11,689.80 and 5,113.33

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Solution

The fourth proportional to 8,470.57, 11,689.80 and 5,113.33 is: 7,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.57 : 11,689.80 = 5,113.33 : x
  2. Step 2: Convert to fraction form
    8,470.57/11,689.80 = 5,113.33/x
  3. Step 3: Cross multiply
    8,470.57x = 11,689.80 × 5,113.33
  4. Step 4: Simplify right side
    8,470.57x = 59,773,805.03
  5. Step 5: Solve for x
    x = 59,773,805.03/8,470.57
  6. Step 6: Final answer
    x = 7,056.64

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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.