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Finding the Fourth Proportional to 21,000.84, 31,500.06 and 5,419.24

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Solution

The fourth proportional to 21,000.84, 31,500.06 and 5,419.24 is: 8,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.84 : 31,500.06 = 5,419.24 : x
  2. Step 2: Convert to fraction form
    21,000.84/31,500.06 = 5,419.24/x
  3. Step 3: Cross multiply
    21,000.84x = 31,500.06 × 5,419.24
  4. Step 4: Simplify right side
    21,000.84x = 170,706,385.15
  5. Step 5: Solve for x
    x = 170,706,385.15/21,000.84
  6. Step 6: Final answer
    x = 8,128.55

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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.