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Finding the Fourth Proportional to 20,578.40, 30,916.80 and 13,197.32

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Solution

The fourth proportional to 20,578.40, 30,916.80 and 13,197.32 is: 19,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.40 : 30,916.80 = 13,197.32 : x
  2. Step 2: Convert to fraction form
    20,578.40/30,916.80 = 13,197.32/x
  3. Step 3: Cross multiply
    20,578.40x = 30,916.80 × 13,197.32
  4. Step 4: Simplify right side
    20,578.40x = 408,018,902.98
  5. Step 5: Solve for x
    x = 408,018,902.98/20,578.40
  6. Step 6: Final answer
    x = 19,827.53

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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.