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Finding the Fourth Proportional to 2,697.80, 4,045.88 and 1,053.94

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Solution

The fourth proportional to 2,697.80, 4,045.88 and 1,053.94 is: 1,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.80 : 4,045.88 = 1,053.94 : x
  2. Step 2: Convert to fraction form
    2,697.80/4,045.88 = 1,053.94/x
  3. Step 3: Cross multiply
    2,697.80x = 4,045.88 × 1,053.94
  4. Step 4: Simplify right side
    2,697.80x = 4,264,114.77
  5. Step 5: Solve for x
    x = 4,264,114.77/2,697.80
  6. Step 6: Final answer
    x = 1,580.59

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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.