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Finding the Fourth Proportional to 2,547.08, 3,821.12 and 904.79

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Solution

The fourth proportional to 2,547.08, 3,821.12 and 904.79 is: 1,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.08 : 3,821.12 = 904.79 : x
  2. Step 2: Convert to fraction form
    2,547.08/3,821.12 = 904.79/x
  3. Step 3: Cross multiply
    2,547.08x = 3,821.12 × 904.79
  4. Step 4: Simplify right side
    2,547.08x = 3,457,287.54
  5. Step 5: Solve for x
    x = 3,457,287.54/2,547.08
  6. Step 6: Final answer
    x = 1,357.36

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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.