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Finding the Fourth Proportional to 28,578.40, 39,438 and 16,002.40

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Solution

The fourth proportional to 28,578.40, 39,438 and 16,002.40 is: 22,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,578.40 : 39,438 = 16,002.40 : x
  2. Step 2: Convert to fraction form
    28,578.40/39,438 = 16,002.40/x
  3. Step 3: Cross multiply
    28,578.40x = 39,438 × 16,002.40
  4. Step 4: Simplify right side
    28,578.40x = 631,102,651.20
  5. Step 5: Solve for x
    x = 631,102,651.20/28,578.40
  6. Step 6: Final answer
    x = 22,083.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.