Home / 2,317.96-3,478.24-931.40

Finding the Fourth Proportional to 2,317.96, 3,478.24 and 931.40

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Solution

The fourth proportional to 2,317.96, 3,478.24 and 931.40 is: 1,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.96 : 3,478.24 = 931.40 : x
  2. Step 2: Convert to fraction form
    2,317.96/3,478.24 = 931.40/x
  3. Step 3: Cross multiply
    2,317.96x = 3,478.24 × 931.40
  4. Step 4: Simplify right side
    2,317.96x = 3,239,632.74
  5. Step 5: Solve for x
    x = 3,239,632.74/2,317.96
  6. Step 6: Final answer
    x = 1,397.62

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1.5x scale

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.