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Finding the Fourth Proportional to 28,578.29, 42,870.29 and 9,855.86

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Solution

The fourth proportional to 28,578.29, 42,870.29 and 9,855.86 is: 14,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,578.29 : 42,870.29 = 9,855.86 : x
  2. Step 2: Convert to fraction form
    28,578.29/42,870.29 = 9,855.86/x
  3. Step 3: Cross multiply
    28,578.29x = 42,870.29 × 9,855.86
  4. Step 4: Simplify right side
    28,578.29x = 422,523,312.77
  5. Step 5: Solve for x
    x = 422,523,312.77/28,578.29
  6. Step 6: Final answer
    x = 14,784.77

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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.