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Finding the Fourth Proportional to 11,432.50, 17,139.50 and 10,509.86

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Solution

The fourth proportional to 11,432.50, 17,139.50 and 10,509.86 is: 15,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.50 : 17,139.50 = 10,509.86 : x
  2. Step 2: Convert to fraction form
    11,432.50/17,139.50 = 10,509.86/x
  3. Step 3: Cross multiply
    11,432.50x = 17,139.50 × 10,509.86
  4. Step 4: Simplify right side
    11,432.50x = 180,133,745.47
  5. Step 5: Solve for x
    x = 180,133,745.47/11,432.50
  6. Step 6: Final answer
    x = 15,756.29

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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.