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Finding the Fourth Proportional to 7,293.40, 10,938.40 and 2,851.16

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Solution

The fourth proportional to 7,293.40, 10,938.40 and 2,851.16 is: 4,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.40 : 10,938.40 = 2,851.16 : x
  2. Step 2: Convert to fraction form
    7,293.40/10,938.40 = 2,851.16/x
  3. Step 3: Cross multiply
    7,293.40x = 10,938.40 × 2,851.16
  4. Step 4: Simplify right side
    7,293.40x = 31,187,066.72
  5. Step 5: Solve for x
    x = 31,187,066.72/7,293.40
  6. Step 6: Final answer
    x = 4,276.07

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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.