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Finding the Fourth Proportional to 7,808.72, 10,776 and 4,272

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Solution

The fourth proportional to 7,808.72, 10,776 and 4,272 is: 5,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.72 : 10,776 = 4,272 : x
  2. Step 2: Convert to fraction form
    7,808.72/10,776 = 4,272/x
  3. Step 3: Cross multiply
    7,808.72x = 10,776 × 4,272
  4. Step 4: Simplify right side
    7,808.72x = 46,035,072
  5. Step 5: Solve for x
    x = 46,035,072/7,808.72
  6. Step 6: Final answer
    x = 5,895.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.