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Finding the Fourth Proportional to 2,400.68, 3,312.74 and 1,353

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Solution

The fourth proportional to 2,400.68, 3,312.74 and 1,353 is: 1,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.68 : 3,312.74 = 1,353 : x
  2. Step 2: Convert to fraction form
    2,400.68/3,312.74 = 1,353/x
  3. Step 3: Cross multiply
    2,400.68x = 3,312.74 × 1,353
  4. Step 4: Simplify right side
    2,400.68x = 4,482,137.22
  5. Step 5: Solve for x
    x = 4,482,137.22/2,400.68
  6. Step 6: Final answer
    x = 1,867.03

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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.