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Finding the Fourth Proportional to 17,742.70, 26,612.55 and 5,430.70

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Solution

The fourth proportional to 17,742.70, 26,612.55 and 5,430.70 is: 8,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.70 : 26,612.55 = 5,430.70 : x
  2. Step 2: Convert to fraction form
    17,742.70/26,612.55 = 5,430.70/x
  3. Step 3: Cross multiply
    17,742.70x = 26,612.55 × 5,430.70
  4. Step 4: Simplify right side
    17,742.70x = 144,524,775.29
  5. Step 5: Solve for x
    x = 144,524,775.29/17,742.70
  6. Step 6: Final answer
    x = 8,145.59

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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.