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Finding the Fourth Proportional to 8,470.78, 11,689.15 and 4,975.34

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Solution

The fourth proportional to 8,470.78, 11,689.15 and 4,975.34 is: 6,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.78 : 11,689.15 = 4,975.34 : x
  2. Step 2: Convert to fraction form
    8,470.78/11,689.15 = 4,975.34/x
  3. Step 3: Cross multiply
    8,470.78x = 11,689.15 × 4,975.34
  4. Step 4: Simplify right side
    8,470.78x = 58,157,495.56
  5. Step 5: Solve for x
    x = 58,157,495.56/8,470.78
  6. Step 6: Final answer
    x = 6,865.66

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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.