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Finding the Fourth Proportional to 15,752.32, 21,738.76 and 9,039.31

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Solution

The fourth proportional to 15,752.32, 21,738.76 and 9,039.31 is: 12,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.32 : 21,738.76 = 9,039.31 : x
  2. Step 2: Convert to fraction form
    15,752.32/21,738.76 = 9,039.31/x
  3. Step 3: Cross multiply
    15,752.32x = 21,738.76 × 9,039.31
  4. Step 4: Simplify right side
    15,752.32x = 196,503,313.71
  5. Step 5: Solve for x
    x = 196,503,313.71/15,752.32
  6. Step 6: Final answer
    x = 12,474.57

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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.