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Finding the Fourth Proportional to 28,557.86, 42,839.64 and 9,835.41

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Solution

The fourth proportional to 28,557.86, 42,839.64 and 9,835.41 is: 14,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,557.86 : 42,839.64 = 9,835.41 : x
  2. Step 2: Convert to fraction form
    28,557.86/42,839.64 = 9,835.41/x
  3. Step 3: Cross multiply
    28,557.86x = 42,839.64 × 9,835.41
  4. Step 4: Simplify right side
    28,557.86x = 421,345,423.65
  5. Step 5: Solve for x
    x = 421,345,423.65/28,557.86
  6. Step 6: Final answer
    x = 14,754.10

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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.