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Finding the Fourth Proportional to 9,848, 13,590.02 and 5,371.78

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Solution

The fourth proportional to 9,848, 13,590.02 and 5,371.78 is: 7,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848 : 13,590.02 = 5,371.78 : x
  2. Step 2: Convert to fraction form
    9,848/13,590.02 = 5,371.78/x
  3. Step 3: Cross multiply
    9,848x = 13,590.02 × 5,371.78
  4. Step 4: Simplify right side
    9,848x = 73,002,597.64
  5. Step 5: Solve for x
    x = 73,002,597.64/9,848
  6. Step 6: Final answer
    x = 7,412.94

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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.