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Finding the Fourth Proportional to 21,434, 32,151 and 9,750.56

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Solution

The fourth proportional to 21,434, 32,151 and 9,750.56 is: 14,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434 : 32,151 = 9,750.56 : x
  2. Step 2: Convert to fraction form
    21,434/32,151 = 9,750.56/x
  3. Step 3: Cross multiply
    21,434x = 32,151 × 9,750.56
  4. Step 4: Simplify right side
    21,434x = 313,490,254.56
  5. Step 5: Solve for x
    x = 313,490,254.56/21,434
  6. Step 6: Final answer
    x = 14,625.84

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Double scale
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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.