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Finding the Fourth Proportional to 8,602.85, 11,866.91 and 5,411.09

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Solution

The fourth proportional to 8,602.85, 11,866.91 and 5,411.09 is: 7,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.85 : 11,866.91 = 5,411.09 : x
  2. Step 2: Convert to fraction form
    8,602.85/11,866.91 = 5,411.09/x
  3. Step 3: Cross multiply
    8,602.85x = 11,866.91 × 5,411.09
  4. Step 4: Simplify right side
    8,602.85x = 64,212,831.64
  5. Step 5: Solve for x
    x = 64,212,831.64/8,602.85
  6. Step 6: Final answer
    x = 7,464.14

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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.