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Finding the Fourth Proportional to 1,987.60, 2,977.08 and 1,603.12

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Solution

The fourth proportional to 1,987.60, 2,977.08 and 1,603.12 is: 2,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.60 : 2,977.08 = 1,603.12 : x
  2. Step 2: Convert to fraction form
    1,987.60/2,977.08 = 1,603.12/x
  3. Step 3: Cross multiply
    1,987.60x = 2,977.08 × 1,603.12
  4. Step 4: Simplify right side
    1,987.60x = 4,772,616.49
  5. Step 5: Solve for x
    x = 4,772,616.49/1,987.60
  6. Step 6: Final answer
    x = 2,401.20

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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.