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Finding the Fourth Proportional to 3,248.71, 4,873.06 and 783.52

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Solution

The fourth proportional to 3,248.71, 4,873.06 and 783.52 is: 1,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.71 : 4,873.06 = 783.52 : x
  2. Step 2: Convert to fraction form
    3,248.71/4,873.06 = 783.52/x
  3. Step 3: Cross multiply
    3,248.71x = 4,873.06 × 783.52
  4. Step 4: Simplify right side
    3,248.71x = 3,818,156.18
  5. Step 5: Solve for x
    x = 3,818,156.18/3,248.71
  6. Step 6: Final answer
    x = 1,175.28

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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.