Home / 1,632.15-2,446.80-972.40

Finding the Fourth Proportional to 1,632.15, 2,446.80 and 972.40

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Solution

The fourth proportional to 1,632.15, 2,446.80 and 972.40 is: 1,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.15 : 2,446.80 = 972.40 : x
  2. Step 2: Convert to fraction form
    1,632.15/2,446.80 = 972.40/x
  3. Step 3: Cross multiply
    1,632.15x = 2,446.80 × 972.40
  4. Step 4: Simplify right side
    1,632.15x = 2,379,268.32
  5. Step 5: Solve for x
    x = 2,379,268.32/1,632.15
  6. Step 6: Final answer
    x = 1,457.75

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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.