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Finding the Fourth Proportional to 2,402.68, 3,316 and 1,354.82

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Solution

The fourth proportional to 2,402.68, 3,316 and 1,354.82 is: 1,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.68 : 3,316 = 1,354.82 : x
  2. Step 2: Convert to fraction form
    2,402.68/3,316 = 1,354.82/x
  3. Step 3: Cross multiply
    2,402.68x = 3,316 × 1,354.82
  4. Step 4: Simplify right side
    2,402.68x = 4,492,583.12
  5. Step 5: Solve for x
    x = 4,492,583.12/2,402.68
  6. Step 6: Final answer
    x = 1,869.82

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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.