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Finding the Fourth Proportional to 6,442.68, 8,891.19 and 5,043

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Solution

The fourth proportional to 6,442.68, 8,891.19 and 5,043 is: 6,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.68 : 8,891.19 = 5,043 : x
  2. Step 2: Convert to fraction form
    6,442.68/8,891.19 = 5,043/x
  3. Step 3: Cross multiply
    6,442.68x = 8,891.19 × 5,043
  4. Step 4: Simplify right side
    6,442.68x = 44,838,271.17
  5. Step 5: Solve for x
    x = 44,838,271.17/6,442.68
  6. Step 6: Final answer
    x = 6,959.57

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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.