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Finding the Fourth Proportional to 2,407.60, 3,609.06 and 1,312.12

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Solution

The fourth proportional to 2,407.60, 3,609.06 and 1,312.12 is: 1,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.60 : 3,609.06 = 1,312.12 : x
  2. Step 2: Convert to fraction form
    2,407.60/3,609.06 = 1,312.12/x
  3. Step 3: Cross multiply
    2,407.60x = 3,609.06 × 1,312.12
  4. Step 4: Simplify right side
    2,407.60x = 4,735,519.81
  5. Step 5: Solve for x
    x = 4,735,519.81/2,407.60
  6. Step 6: Final answer
    x = 1,966.90

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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.