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Finding the Fourth Proportional to 3,281.93, 4,921.64 and 1,407.65

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Solution

The fourth proportional to 3,281.93, 4,921.64 and 1,407.65 is: 2,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.93 : 4,921.64 = 1,407.65 : x
  2. Step 2: Convert to fraction form
    3,281.93/4,921.64 = 1,407.65/x
  3. Step 3: Cross multiply
    3,281.93x = 4,921.64 × 1,407.65
  4. Step 4: Simplify right side
    3,281.93x = 6,927,920.18
  5. Step 5: Solve for x
    x = 6,927,920.18/3,281.93
  6. Step 6: Final answer
    x = 2,110.93

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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.