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Finding the Fourth Proportional to 10,189.53, 15,291.08 and 4,190.53

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Solution

The fourth proportional to 10,189.53, 15,291.08 and 4,190.53 is: 6,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.53 : 15,291.08 = 4,190.53 : x
  2. Step 2: Convert to fraction form
    10,189.53/15,291.08 = 4,190.53/x
  3. Step 3: Cross multiply
    10,189.53x = 15,291.08 × 4,190.53
  4. Step 4: Simplify right side
    10,189.53x = 64,077,729.47
  5. Step 5: Solve for x
    x = 64,077,729.47/10,189.53
  6. Step 6: Final answer
    x = 6,288.59

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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.