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Finding the Fourth Proportional to 2,547.90, 3,821.54 and 698.94

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Solution

The fourth proportional to 2,547.90, 3,821.54 and 698.94 is: 1,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.90 : 3,821.54 = 698.94 : x
  2. Step 2: Convert to fraction form
    2,547.90/3,821.54 = 698.94/x
  3. Step 3: Cross multiply
    2,547.90x = 3,821.54 × 698.94
  4. Step 4: Simplify right side
    2,547.90x = 2,671,027.17
  5. Step 5: Solve for x
    x = 2,671,027.17/2,547.90
  6. Step 6: Final answer
    x = 1,048.32

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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.