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Finding the Fourth Proportional to 7,888.47, 11,836.35 and 5,428.10

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Solution

The fourth proportional to 7,888.47, 11,836.35 and 5,428.10 is: 8,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.47 : 11,836.35 = 5,428.10 : x
  2. Step 2: Convert to fraction form
    7,888.47/11,836.35 = 5,428.10/x
  3. Step 3: Cross multiply
    7,888.47x = 11,836.35 × 5,428.10
  4. Step 4: Simplify right side
    7,888.47x = 64,248,832.25
  5. Step 5: Solve for x
    x = 64,248,832.25/7,888.47
  6. Step 6: Final answer
    x = 8,144.65

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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.