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Finding the Fourth Proportional to 11,298.71, 15,592.63 and 6,821.60

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Solution

The fourth proportional to 11,298.71, 15,592.63 and 6,821.60 is: 9,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.71 : 15,592.63 = 6,821.60 : x
  2. Step 2: Convert to fraction form
    11,298.71/15,592.63 = 6,821.60/x
  3. Step 3: Cross multiply
    11,298.71x = 15,592.63 × 6,821.60
  4. Step 4: Simplify right side
    11,298.71x = 106,366,589.79
  5. Step 5: Solve for x
    x = 106,366,589.79/11,298.71
  6. Step 6: Final answer
    x = 9,414.05

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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.