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Finding the Fourth Proportional to 15,754.96, 21,733.68 and 12,774.16

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Solution

The fourth proportional to 15,754.96, 21,733.68 and 12,774.16 is: 17,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.96 : 21,733.68 = 12,774.16 : x
  2. Step 2: Convert to fraction form
    15,754.96/21,733.68 = 12,774.16/x
  3. Step 3: Cross multiply
    15,754.96x = 21,733.68 × 12,774.16
  4. Step 4: Simplify right side
    15,754.96x = 277,629,505.71
  5. Step 5: Solve for x
    x = 277,629,505.71/15,754.96
  6. Step 6: Final answer
    x = 17,621.72

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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.