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Finding the Fourth Proportional to 9,287.10, 13,981.32 and 8,470.62

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Solution

The fourth proportional to 9,287.10, 13,981.32 and 8,470.62 is: 12,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.10 : 13,981.32 = 8,470.62 : x
  2. Step 2: Convert to fraction form
    9,287.10/13,981.32 = 8,470.62/x
  3. Step 3: Cross multiply
    9,287.10x = 13,981.32 × 8,470.62
  4. Step 4: Simplify right side
    9,287.10x = 118,430,448.82
  5. Step 5: Solve for x
    x = 118,430,448.82/9,287.10
  6. Step 6: Final answer
    x = 12,752.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.