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Finding the Fourth Proportional to 5,098.67, 7,651.08 and 1,979.01

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Solution

The fourth proportional to 5,098.67, 7,651.08 and 1,979.01 is: 2,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.67 : 7,651.08 = 1,979.01 : x
  2. Step 2: Convert to fraction form
    5,098.67/7,651.08 = 1,979.01/x
  3. Step 3: Cross multiply
    5,098.67x = 7,651.08 × 1,979.01
  4. Step 4: Simplify right side
    5,098.67x = 15,141,547.88
  5. Step 5: Solve for x
    x = 15,141,547.88/5,098.67
  6. Step 6: Final answer
    x = 2,969.70

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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.