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Finding the Fourth Proportional to 21,124.84, 31,684.86 and 5,543.68

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Solution

The fourth proportional to 21,124.84, 31,684.86 and 5,543.68 is: 8,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.84 : 31,684.86 = 5,543.68 : x
  2. Step 2: Convert to fraction form
    21,124.84/31,684.86 = 5,543.68/x
  3. Step 3: Cross multiply
    21,124.84x = 31,684.86 × 5,543.68
  4. Step 4: Simplify right side
    21,124.84x = 175,650,724.68
  5. Step 5: Solve for x
    x = 175,650,724.68/21,124.84
  6. Step 6: Final answer
    x = 8,314.89

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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.