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Finding the Fourth Proportional to 21,461.84, 32,194.44 and 8,313.20

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Solution

The fourth proportional to 21,461.84, 32,194.44 and 8,313.20 is: 12,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.84 : 32,194.44 = 8,313.20 : x
  2. Step 2: Convert to fraction form
    21,461.84/32,194.44 = 8,313.20/x
  3. Step 3: Cross multiply
    21,461.84x = 32,194.44 × 8,313.20
  4. Step 4: Simplify right side
    21,461.84x = 267,638,818.61
  5. Step 5: Solve for x
    x = 267,638,818.61/21,461.84
  6. Step 6: Final answer
    x = 12,470.45

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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.