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Finding the Fourth Proportional to 1,881.73, 2,802.68 and 1,782.91

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Solution

The fourth proportional to 1,881.73, 2,802.68 and 1,782.91 is: 2,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.73 : 2,802.68 = 1,782.91 : x
  2. Step 2: Convert to fraction form
    1,881.73/2,802.68 = 1,782.91/x
  3. Step 3: Cross multiply
    1,881.73x = 2,802.68 × 1,782.91
  4. Step 4: Simplify right side
    1,881.73x = 4,996,926.20
  5. Step 5: Solve for x
    x = 4,996,926.20/1,881.73
  6. Step 6: Final answer
    x = 2,655.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.