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Finding the Fourth Proportional to 3,547.68, 4,900.25 and 2,990

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Solution

The fourth proportional to 3,547.68, 4,900.25 and 2,990 is: 4,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.68 : 4,900.25 = 2,990 : x
  2. Step 2: Convert to fraction form
    3,547.68/4,900.25 = 2,990/x
  3. Step 3: Cross multiply
    3,547.68x = 4,900.25 × 2,990
  4. Step 4: Simplify right side
    3,547.68x = 14,651,747.50
  5. Step 5: Solve for x
    x = 14,651,747.50/3,547.68
  6. Step 6: Final answer
    x = 4,129.95

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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.