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Finding the Fourth Proportional to 1,854.74, 2,779.70 and 1,658.60

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Solution

The fourth proportional to 1,854.74, 2,779.70 and 1,658.60 is: 2,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.74 : 2,779.70 = 1,658.60 : x
  2. Step 2: Convert to fraction form
    1,854.74/2,779.70 = 1,658.60/x
  3. Step 3: Cross multiply
    1,854.74x = 2,779.70 × 1,658.60
  4. Step 4: Simplify right side
    1,854.74x = 4,610,410.42
  5. Step 5: Solve for x
    x = 4,610,410.42/1,854.74
  6. Step 6: Final answer
    x = 2,485.74

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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.