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Finding the Fourth Proportional to 5,641.79, 8,460.01 and 1,691.52

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Solution

The fourth proportional to 5,641.79, 8,460.01 and 1,691.52 is: 2,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.79 : 8,460.01 = 1,691.52 : x
  2. Step 2: Convert to fraction form
    5,641.79/8,460.01 = 1,691.52/x
  3. Step 3: Cross multiply
    5,641.79x = 8,460.01 × 1,691.52
  4. Step 4: Simplify right side
    5,641.79x = 14,310,246.50
  5. Step 5: Solve for x
    x = 14,310,246.50/5,641.79
  6. Step 6: Final answer
    x = 2,536.47

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1.5x scale

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.