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Finding the Fourth Proportional to 2,547.60, 3,820.74 and 698.28

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Solution

The fourth proportional to 2,547.60, 3,820.74 and 698.28 is: 1,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.60 : 3,820.74 = 698.28 : x
  2. Step 2: Convert to fraction form
    2,547.60/3,820.74 = 698.28/x
  3. Step 3: Cross multiply
    2,547.60x = 3,820.74 × 698.28
  4. Step 4: Simplify right side
    2,547.60x = 2,667,946.33
  5. Step 5: Solve for x
    x = 2,667,946.33/2,547.60
  6. Step 6: Final answer
    x = 1,047.24

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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.