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Finding the Fourth Proportional to 10,561.59, 15,840.15 and 6,802.11

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Solution

The fourth proportional to 10,561.59, 15,840.15 and 6,802.11 is: 10,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.59 : 15,840.15 = 6,802.11 : x
  2. Step 2: Convert to fraction form
    10,561.59/15,840.15 = 6,802.11/x
  3. Step 3: Cross multiply
    10,561.59x = 15,840.15 × 6,802.11
  4. Step 4: Simplify right side
    10,561.59x = 107,746,442.72
  5. Step 5: Solve for x
    x = 107,746,442.72/10,561.59
  6. Step 6: Final answer
    x = 10,201.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.