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Finding the Fourth Proportional to 2,897.52, 4,000.77 and 1,779.99

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Solution

The fourth proportional to 2,897.52, 4,000.77 and 1,779.99 is: 2,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.52 : 4,000.77 = 1,779.99 : x
  2. Step 2: Convert to fraction form
    2,897.52/4,000.77 = 1,779.99/x
  3. Step 3: Cross multiply
    2,897.52x = 4,000.77 × 1,779.99
  4. Step 4: Simplify right side
    2,897.52x = 7,121,330.59
  5. Step 5: Solve for x
    x = 7,121,330.59/2,897.52
  6. Step 6: Final answer
    x = 2,457.73

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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.