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Finding the Fourth Proportional to 4,102.78, 5,660.04 and 2,776

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Solution

The fourth proportional to 4,102.78, 5,660.04 and 2,776 is: 3,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.78 : 5,660.04 = 2,776 : x
  2. Step 2: Convert to fraction form
    4,102.78/5,660.04 = 2,776/x
  3. Step 3: Cross multiply
    4,102.78x = 5,660.04 × 2,776
  4. Step 4: Simplify right side
    4,102.78x = 15,712,271.04
  5. Step 5: Solve for x
    x = 15,712,271.04/4,102.78
  6. Step 6: Final answer
    x = 3,829.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.