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Finding the Fourth Proportional to 8,470.64, 11,689.08 and 5,328.56

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Solution

The fourth proportional to 8,470.64, 11,689.08 and 5,328.56 is: 7,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.64 : 11,689.08 = 5,328.56 : x
  2. Step 2: Convert to fraction form
    8,470.64/11,689.08 = 5,328.56/x
  3. Step 3: Cross multiply
    8,470.64x = 11,689.08 × 5,328.56
  4. Step 4: Simplify right side
    8,470.64x = 62,285,964.12
  5. Step 5: Solve for x
    x = 62,285,964.12/8,470.64
  6. Step 6: Final answer
    x = 7,353.16

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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.