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Finding the Fourth Proportional to 2,777.52, 4,165.88 and 1,045.76

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Solution

The fourth proportional to 2,777.52, 4,165.88 and 1,045.76 is: 1,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.52 : 4,165.88 = 1,045.76 : x
  2. Step 2: Convert to fraction form
    2,777.52/4,165.88 = 1,045.76/x
  3. Step 3: Cross multiply
    2,777.52x = 4,165.88 × 1,045.76
  4. Step 4: Simplify right side
    2,777.52x = 4,356,510.67
  5. Step 5: Solve for x
    x = 4,356,510.67/2,777.52
  6. Step 6: Final answer
    x = 1,568.49

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1.5x scale

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.