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Finding the Fourth Proportional to 1,899.90, 2,620.80 and 1,154.16

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Solution

The fourth proportional to 1,899.90, 2,620.80 and 1,154.16 is: 1,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.90 : 2,620.80 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    1,899.90/2,620.80 = 1,154.16/x
  3. Step 3: Cross multiply
    1,899.90x = 2,620.80 × 1,154.16
  4. Step 4: Simplify right side
    1,899.90x = 3,024,822.53
  5. Step 5: Solve for x
    x = 3,024,822.53/1,899.90
  6. Step 6: Final answer
    x = 1,592.10

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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.