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Finding the Fourth Proportional to 2,407.68, 3,607.68 and 1,382.40

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Solution

The fourth proportional to 2,407.68, 3,607.68 and 1,382.40 is: 2,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,607.68 = 1,382.40 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,607.68 = 1,382.40/x
  3. Step 3: Cross multiply
    2,407.68x = 3,607.68 × 1,382.40
  4. Step 4: Simplify right side
    2,407.68x = 4,987,256.83
  5. Step 5: Solve for x
    x = 4,987,256.83/2,407.68
  6. Step 6: Final answer
    x = 2,071.40

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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.