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Finding the Fourth Proportional to 4,998, 7,492.91 and 2,078.40

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Solution

The fourth proportional to 4,998, 7,492.91 and 2,078.40 is: 3,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 7,492.91 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    4,998/7,492.91 = 2,078.40/x
  3. Step 3: Cross multiply
    4,998x = 7,492.91 × 2,078.40
  4. Step 4: Simplify right side
    4,998x = 15,573,253.75
  5. Step 5: Solve for x
    x = 15,573,253.75/4,998
  6. Step 6: Final answer
    x = 3,115.90

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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.