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Finding the Fourth Proportional to 8,486.16, 11,708.92 and 5,340.36

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Solution

The fourth proportional to 8,486.16, 11,708.92 and 5,340.36 is: 7,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.16 : 11,708.92 = 5,340.36 : x
  2. Step 2: Convert to fraction form
    8,486.16/11,708.92 = 5,340.36/x
  3. Step 3: Cross multiply
    8,486.16x = 11,708.92 × 5,340.36
  4. Step 4: Simplify right side
    8,486.16x = 62,529,848.01
  5. Step 5: Solve for x
    x = 62,529,848.01/8,486.16
  6. Step 6: Final answer
    x = 7,368.45

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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.