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Finding the Fourth Proportional to 2,602.62, 3,904.50 and 1,215.20

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Solution

The fourth proportional to 2,602.62, 3,904.50 and 1,215.20 is: 1,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.62 : 3,904.50 = 1,215.20 : x
  2. Step 2: Convert to fraction form
    2,602.62/3,904.50 = 1,215.20/x
  3. Step 3: Cross multiply
    2,602.62x = 3,904.50 × 1,215.20
  4. Step 4: Simplify right side
    2,602.62x = 4,744,741.68
  5. Step 5: Solve for x
    x = 4,744,741.68/2,602.62
  6. Step 6: Final answer
    x = 1,823.07

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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.