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Finding the Fourth Proportional to 28,381.95, 42,578.10 and 9,661.10

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Solution

The fourth proportional to 28,381.95, 42,578.10 and 9,661.10 is: 14,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,381.95 : 42,578.10 = 9,661.10 : x
  2. Step 2: Convert to fraction form
    28,381.95/42,578.10 = 9,661.10/x
  3. Step 3: Cross multiply
    28,381.95x = 42,578.10 × 9,661.10
  4. Step 4: Simplify right side
    28,381.95x = 411,351,069.02
  5. Step 5: Solve for x
    x = 411,351,069.02/28,381.95
  6. Step 6: Final answer
    x = 14,493.40

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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.