Home / 2,289.02-3,433.24-972.96

Finding the Fourth Proportional to 2,289.02, 3,433.24 and 972.96

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Solution

The fourth proportional to 2,289.02, 3,433.24 and 972.96 is: 1,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.02 : 3,433.24 = 972.96 : x
  2. Step 2: Convert to fraction form
    2,289.02/3,433.24 = 972.96/x
  3. Step 3: Cross multiply
    2,289.02x = 3,433.24 × 972.96
  4. Step 4: Simplify right side
    2,289.02x = 3,340,405.19
  5. Step 5: Solve for x
    x = 3,340,405.19/2,289.02
  6. Step 6: Final answer
    x = 1,459.32

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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.