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Finding the Fourth Proportional to 2,806.79, 3,873.40 and 1,547.90

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Solution

The fourth proportional to 2,806.79, 3,873.40 and 1,547.90 is: 2,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.79 : 3,873.40 = 1,547.90 : x
  2. Step 2: Convert to fraction form
    2,806.79/3,873.40 = 1,547.90/x
  3. Step 3: Cross multiply
    2,806.79x = 3,873.40 × 1,547.90
  4. Step 4: Simplify right side
    2,806.79x = 5,995,635.86
  5. Step 5: Solve for x
    x = 5,995,635.86/2,806.79
  6. Step 6: Final answer
    x = 2,136.12

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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.