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Finding the Fourth Proportional to 2,547.68, 3,820.32 and 904.19

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Solution

The fourth proportional to 2,547.68, 3,820.32 and 904.19 is: 1,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.68 : 3,820.32 = 904.19 : x
  2. Step 2: Convert to fraction form
    2,547.68/3,820.32 = 904.19/x
  3. Step 3: Cross multiply
    2,547.68x = 3,820.32 × 904.19
  4. Step 4: Simplify right side
    2,547.68x = 3,454,276.04
  5. Step 5: Solve for x
    x = 3,454,276.04/2,547.68
  6. Step 6: Final answer
    x = 1,355.85

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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.