Home / 2,270.96-3,407.60-972.08

Finding the Fourth Proportional to 2,270.96, 3,407.60 and 972.08

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Solution

The fourth proportional to 2,270.96, 3,407.60 and 972.08 is: 1,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.96 : 3,407.60 = 972.08 : x
  2. Step 2: Convert to fraction form
    2,270.96/3,407.60 = 972.08/x
  3. Step 3: Cross multiply
    2,270.96x = 3,407.60 × 972.08
  4. Step 4: Simplify right side
    2,270.96x = 3,312,459.81
  5. Step 5: Solve for x
    x = 3,312,459.81/2,270.96
  6. Step 6: Final answer
    x = 1,458.62

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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.