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Finding the Fourth Proportional to 7,541.61, 10,403.15 and 4,742.25

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Solution

The fourth proportional to 7,541.61, 10,403.15 and 4,742.25 is: 6,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.61 : 10,403.15 = 4,742.25 : x
  2. Step 2: Convert to fraction form
    7,541.61/10,403.15 = 4,742.25/x
  3. Step 3: Cross multiply
    7,541.61x = 10,403.15 × 4,742.25
  4. Step 4: Simplify right side
    7,541.61x = 49,334,314.38
  5. Step 5: Solve for x
    x = 49,334,314.38/7,541.61
  6. Step 6: Final answer
    x = 6,541.62

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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.