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Finding the Fourth Proportional to 6,342, 8,751.96 and 3,547.50

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Solution

The fourth proportional to 6,342, 8,751.96 and 3,547.50 is: 4,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342 : 8,751.96 = 3,547.50 : x
  2. Step 2: Convert to fraction form
    6,342/8,751.96 = 3,547.50/x
  3. Step 3: Cross multiply
    6,342x = 8,751.96 × 3,547.50
  4. Step 4: Simplify right side
    6,342x = 31,047,578.10
  5. Step 5: Solve for x
    x = 31,047,578.10/6,342
  6. Step 6: Final answer
    x = 4,895.55

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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.