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Finding the Fourth Proportional to 1,543.57, 2,130.15 and 844.94

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Solution

The fourth proportional to 1,543.57, 2,130.15 and 844.94 is: 1,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.57 : 2,130.15 = 844.94 : x
  2. Step 2: Convert to fraction form
    1,543.57/2,130.15 = 844.94/x
  3. Step 3: Cross multiply
    1,543.57x = 2,130.15 × 844.94
  4. Step 4: Simplify right side
    1,543.57x = 1,799,848.94
  5. Step 5: Solve for x
    x = 1,799,848.94/1,543.57
  6. Step 6: Final answer
    x = 1,166.03

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Why These Related Problems?

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