Home / 1,532.08-2,299.20-947.62

Finding the Fourth Proportional to 1,532.08, 2,299.20 and 947.62

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Solution

The fourth proportional to 1,532.08, 2,299.20 and 947.62 is: 1,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.08 : 2,299.20 = 947.62 : x
  2. Step 2: Convert to fraction form
    1,532.08/2,299.20 = 947.62/x
  3. Step 3: Cross multiply
    1,532.08x = 2,299.20 × 947.62
  4. Step 4: Simplify right side
    1,532.08x = 2,178,767.90
  5. Step 5: Solve for x
    x = 2,178,767.90/1,532.08
  6. Step 6: Final answer
    x = 1,422.10

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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.