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Finding the Fourth Proportional to 2,806.01, 3,872.12 and 1,547.00

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Solution

The fourth proportional to 2,806.01, 3,872.12 and 1,547.00 is: 2,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.01 : 3,872.12 = 1,547.00 : x
  2. Step 2: Convert to fraction form
    2,806.01/3,872.12 = 1,547.00/x
  3. Step 3: Cross multiply
    2,806.01x = 3,872.12 × 1,547.00
  4. Step 4: Simplify right side
    2,806.01x = 5,990,146.41
  5. Step 5: Solve for x
    x = 5,990,146.41/2,806.01
  6. Step 6: Final answer
    x = 2,134.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.