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Finding the Fourth Proportional to 3,298.68, 4,948.50 and 989.88

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Solution

The fourth proportional to 3,298.68, 4,948.50 and 989.88 is: 1,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.68 : 4,948.50 = 989.88 : x
  2. Step 2: Convert to fraction form
    3,298.68/4,948.50 = 989.88/x
  3. Step 3: Cross multiply
    3,298.68x = 4,948.50 × 989.88
  4. Step 4: Simplify right side
    3,298.68x = 4,898,421.18
  5. Step 5: Solve for x
    x = 4,898,421.18/3,298.68
  6. Step 6: Final answer
    x = 1,484.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.