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Finding the Fourth Proportional to 6,981.59, 9,636.84 and 4,470.47

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Solution

The fourth proportional to 6,981.59, 9,636.84 and 4,470.47 is: 6,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.59 : 9,636.84 = 4,470.47 : x
  2. Step 2: Convert to fraction form
    6,981.59/9,636.84 = 4,470.47/x
  3. Step 3: Cross multiply
    6,981.59x = 9,636.84 × 4,470.47
  4. Step 4: Simplify right side
    6,981.59x = 43,081,204.11
  5. Step 5: Solve for x
    x = 43,081,204.11/6,981.59
  6. Step 6: Final answer
    x = 6,170.69

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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.