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Finding the Fourth Proportional to 3,287.16, 4,537 and 2,091.90

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Solution

The fourth proportional to 3,287.16, 4,537 and 2,091.90 is: 2,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.16 : 4,537 = 2,091.90 : x
  2. Step 2: Convert to fraction form
    3,287.16/4,537 = 2,091.90/x
  3. Step 3: Cross multiply
    3,287.16x = 4,537 × 2,091.90
  4. Step 4: Simplify right side
    3,287.16x = 9,490,950.30
  5. Step 5: Solve for x
    x = 9,490,950.30/3,287.16
  6. Step 6: Final answer
    x = 2,887.28

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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.