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Finding the Fourth Proportional to 28,585, 42,878.94 and 10,118.44

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Solution

The fourth proportional to 28,585, 42,878.94 and 10,118.44 is: 15,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,585 : 42,878.94 = 10,118.44 : x
  2. Step 2: Convert to fraction form
    28,585/42,878.94 = 10,118.44/x
  3. Step 3: Cross multiply
    28,585x = 42,878.94 × 10,118.44
  4. Step 4: Simplify right side
    28,585x = 433,867,981.65
  5. Step 5: Solve for x
    x = 433,867,981.65/28,585
  6. Step 6: Final answer
    x = 15,178.17

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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.