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Finding the Fourth Proportional to 2,731.04, 4,095.84 and 783.35

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Solution

The fourth proportional to 2,731.04, 4,095.84 and 783.35 is: 1,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.04 : 4,095.84 = 783.35 : x
  2. Step 2: Convert to fraction form
    2,731.04/4,095.84 = 783.35/x
  3. Step 3: Cross multiply
    2,731.04x = 4,095.84 × 783.35
  4. Step 4: Simplify right side
    2,731.04x = 3,208,476.26
  5. Step 5: Solve for x
    x = 3,208,476.26/2,731.04
  6. Step 6: Final answer
    x = 1,174.82

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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.