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Finding the Fourth Proportional to 11,490.50, 15,856.48 and 7,021.74

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Solution

The fourth proportional to 11,490.50, 15,856.48 and 7,021.74 is: 9,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.50 : 15,856.48 = 7,021.74 : x
  2. Step 2: Convert to fraction form
    11,490.50/15,856.48 = 7,021.74/x
  3. Step 3: Cross multiply
    11,490.50x = 15,856.48 × 7,021.74
  4. Step 4: Simplify right side
    11,490.50x = 111,340,079.88
  5. Step 5: Solve for x
    x = 111,340,079.88/11,490.50
  6. Step 6: Final answer
    x = 9,689.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.