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Finding the Fourth Proportional to 15,752.84, 21,738.72 and 9,038.61

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Solution

The fourth proportional to 15,752.84, 21,738.72 and 9,038.61 is: 12,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.84 : 21,738.72 = 9,038.61 : x
  2. Step 2: Convert to fraction form
    15,752.84/21,738.72 = 9,038.61/x
  3. Step 3: Cross multiply
    15,752.84x = 21,738.72 × 9,038.61
  4. Step 4: Simplify right side
    15,752.84x = 196,487,811.98
  5. Step 5: Solve for x
    x = 196,487,811.98/15,752.84
  6. Step 6: Final answer
    x = 12,473.17

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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.