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Finding the Fourth Proportional to 5,356.34, 7,405.86 and 4,691.29

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Solution

The fourth proportional to 5,356.34, 7,405.86 and 4,691.29 is: 6,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.34 : 7,405.86 = 4,691.29 : x
  2. Step 2: Convert to fraction form
    5,356.34/7,405.86 = 4,691.29/x
  3. Step 3: Cross multiply
    5,356.34x = 7,405.86 × 4,691.29
  4. Step 4: Simplify right side
    5,356.34x = 34,743,036.96
  5. Step 5: Solve for x
    x = 34,743,036.96/5,356.34
  6. Step 6: Final answer
    x = 6,486.34

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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.