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Finding the Fourth Proportional to 2,421, 3,340.98 and 1,317

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Solution

The fourth proportional to 2,421, 3,340.98 and 1,317 is: 1,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421 : 3,340.98 = 1,317 : x
  2. Step 2: Convert to fraction form
    2,421/3,340.98 = 1,317/x
  3. Step 3: Cross multiply
    2,421x = 3,340.98 × 1,317
  4. Step 4: Simplify right side
    2,421x = 4,400,070.66
  5. Step 5: Solve for x
    x = 4,400,070.66/2,421
  6. Step 6: Final answer
    x = 1,817.46

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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.