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Finding the Fourth Proportional to 19,720, 29,580.96 and 5,869.12

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Solution

The fourth proportional to 19,720, 29,580.96 and 5,869.12 is: 8,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 29,580.96 = 5,869.12 : x
  2. Step 2: Convert to fraction form
    19,720/29,580.96 = 5,869.12/x
  3. Step 3: Cross multiply
    19,720x = 29,580.96 × 5,869.12
  4. Step 4: Simplify right side
    19,720x = 173,614,203.96
  5. Step 5: Solve for x
    x = 173,614,203.96/19,720
  6. Step 6: Final answer
    x = 8,803.97

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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.