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Finding the Fourth Proportional to 9,856, 13,602.48 and 5,665.36

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Solution

The fourth proportional to 9,856, 13,602.48 and 5,665.36 is: 7,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 13,602.48 = 5,665.36 : x
  2. Step 2: Convert to fraction form
    9,856/13,602.48 = 5,665.36/x
  3. Step 3: Cross multiply
    9,856x = 13,602.48 × 5,665.36
  4. Step 4: Simplify right side
    9,856x = 77,062,946.09
  5. Step 5: Solve for x
    x = 77,062,946.09/9,856
  6. Step 6: Final answer
    x = 7,818.89

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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.