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Finding the Fourth Proportional to 1,641.95, 2,465.86 and 1,575.89

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Solution

The fourth proportional to 1,641.95, 2,465.86 and 1,575.89 is: 2,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.95 : 2,465.86 = 1,575.89 : x
  2. Step 2: Convert to fraction form
    1,641.95/2,465.86 = 1,575.89/x
  3. Step 3: Cross multiply
    1,641.95x = 2,465.86 × 1,575.89
  4. Step 4: Simplify right side
    1,641.95x = 3,885,911.79
  5. Step 5: Solve for x
    x = 3,885,911.79/1,641.95
  6. Step 6: Final answer
    x = 2,366.64

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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.