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Finding the Fourth Proportional to 2,779.86, 3,833.28 and 1,730.10

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Solution

The fourth proportional to 2,779.86, 3,833.28 and 1,730.10 is: 2,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.86 : 3,833.28 = 1,730.10 : x
  2. Step 2: Convert to fraction form
    2,779.86/3,833.28 = 1,730.10/x
  3. Step 3: Cross multiply
    2,779.86x = 3,833.28 × 1,730.10
  4. Step 4: Simplify right side
    2,779.86x = 6,631,957.73
  5. Step 5: Solve for x
    x = 6,631,957.73/2,779.86
  6. Step 6: Final answer
    x = 2,385.72

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1.5x scale

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.