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Finding the Fourth Proportional to 3,210.68, 4,817.10 and 1,478

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Solution

The fourth proportional to 3,210.68, 4,817.10 and 1,478 is: 2,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.68 : 4,817.10 = 1,478 : x
  2. Step 2: Convert to fraction form
    3,210.68/4,817.10 = 1,478/x
  3. Step 3: Cross multiply
    3,210.68x = 4,817.10 × 1,478
  4. Step 4: Simplify right side
    3,210.68x = 7,119,673.80
  5. Step 5: Solve for x
    x = 7,119,673.80/3,210.68
  6. Step 6: Final answer
    x = 2,217.50

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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.