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Finding the Fourth Proportional to 28,496.56, 42,748.08 and 9,778

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Solution

The fourth proportional to 28,496.56, 42,748.08 and 9,778 is: 14,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,496.56 : 42,748.08 = 9,778 : x
  2. Step 2: Convert to fraction form
    28,496.56/42,748.08 = 9,778/x
  3. Step 3: Cross multiply
    28,496.56x = 42,748.08 × 9,778
  4. Step 4: Simplify right side
    28,496.56x = 417,990,726.24
  5. Step 5: Solve for x
    x = 417,990,726.24/28,496.56
  6. Step 6: Final answer
    x = 14,668.11

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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.