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Finding the Fourth Proportional to 2,731.04, 4,096.64 and 783.40

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Solution

The fourth proportional to 2,731.04, 4,096.64 and 783.40 is: 1,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.04 : 4,096.64 = 783.40 : x
  2. Step 2: Convert to fraction form
    2,731.04/4,096.64 = 783.40/x
  3. Step 3: Cross multiply
    2,731.04x = 4,096.64 × 783.40
  4. Step 4: Simplify right side
    2,731.04x = 3,209,307.78
  5. Step 5: Solve for x
    x = 3,209,307.78/2,731.04
  6. Step 6: Final answer
    x = 1,175.12

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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.