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Finding the Fourth Proportional to 9,365.76, 12,918.96 and 7,849.44

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Solution

The fourth proportional to 9,365.76, 12,918.96 and 7,849.44 is: 10,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.76 : 12,918.96 = 7,849.44 : x
  2. Step 2: Convert to fraction form
    9,365.76/12,918.96 = 7,849.44/x
  3. Step 3: Cross multiply
    9,365.76x = 12,918.96 × 7,849.44
  4. Step 4: Simplify right side
    9,365.76x = 101,406,601.38
  5. Step 5: Solve for x
    x = 101,406,601.38/9,365.76
  6. Step 6: Final answer
    x = 10,827.38

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1.5x scale

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.