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Finding the Fourth Proportional to 17,738.50, 26,607.76 and 5,426.50

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Solution

The fourth proportional to 17,738.50, 26,607.76 and 5,426.50 is: 8,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.50 : 26,607.76 = 5,426.50 : x
  2. Step 2: Convert to fraction form
    17,738.50/26,607.76 = 5,426.50/x
  3. Step 3: Cross multiply
    17,738.50x = 26,607.76 × 5,426.50
  4. Step 4: Simplify right side
    17,738.50x = 144,387,009.64
  5. Step 5: Solve for x
    x = 144,387,009.64/17,738.50
  6. Step 6: Final answer
    x = 8,139.75

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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.