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Finding the Fourth Proportional to 10,393.29, 15,588 and 2,794.68

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Solution

The fourth proportional to 10,393.29, 15,588 and 2,794.68 is: 4,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.29 : 15,588 = 2,794.68 : x
  2. Step 2: Convert to fraction form
    10,393.29/15,588 = 2,794.68/x
  3. Step 3: Cross multiply
    10,393.29x = 15,588 × 2,794.68
  4. Step 4: Simplify right side
    10,393.29x = 43,563,471.84
  5. Step 5: Solve for x
    x = 43,563,471.84/10,393.29
  6. Step 6: Final answer
    x = 4,191.50

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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.