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Finding the Fourth Proportional to 2,486, 3,430.68 and 1,382

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Solution

The fourth proportional to 2,486, 3,430.68 and 1,382 is: 1,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486 : 3,430.68 = 1,382 : x
  2. Step 2: Convert to fraction form
    2,486/3,430.68 = 1,382/x
  3. Step 3: Cross multiply
    2,486x = 3,430.68 × 1,382
  4. Step 4: Simplify right side
    2,486x = 4,741,199.76
  5. Step 5: Solve for x
    x = 4,741,199.76/2,486
  6. Step 6: Final answer
    x = 1,907.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.