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Finding the Fourth Proportional to 7,278.75, 10,918.17 and 2,897.31

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Solution

The fourth proportional to 7,278.75, 10,918.17 and 2,897.31 is: 4,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.75 : 10,918.17 = 2,897.31 : x
  2. Step 2: Convert to fraction form
    7,278.75/10,918.17 = 2,897.31/x
  3. Step 3: Cross multiply
    7,278.75x = 10,918.17 × 2,897.31
  4. Step 4: Simplify right side
    7,278.75x = 31,633,323.12
  5. Step 5: Solve for x
    x = 31,633,323.12/7,278.75
  6. Step 6: Final answer
    x = 4,345.98

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1.5x scale

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.