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Finding the Fourth Proportional to 7,042.16, 9,718.92 and 5,270.66

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Solution

The fourth proportional to 7,042.16, 9,718.92 and 5,270.66 is: 7,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.16 : 9,718.92 = 5,270.66 : x
  2. Step 2: Convert to fraction form
    7,042.16/9,718.92 = 5,270.66/x
  3. Step 3: Cross multiply
    7,042.16x = 9,718.92 × 5,270.66
  4. Step 4: Simplify right side
    7,042.16x = 51,225,122.89
  5. Step 5: Solve for x
    x = 51,225,122.89/7,042.16
  6. Step 6: Final answer
    x = 7,274.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.