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Finding the Fourth Proportional to 1,841.61, 2,762.43 and 543.10

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Solution

The fourth proportional to 1,841.61, 2,762.43 and 543.10 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.61 : 2,762.43 = 543.10 : x
  2. Step 2: Convert to fraction form
    1,841.61/2,762.43 = 543.10/x
  3. Step 3: Cross multiply
    1,841.61x = 2,762.43 × 543.10
  4. Step 4: Simplify right side
    1,841.61x = 1,500,275.73
  5. Step 5: Solve for x
    x = 1,500,275.73/1,841.61
  6. Step 6: Final answer
    x = 814.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.