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Finding the Fourth Proportional to 8,917.71, 12,311.40 and 6,089.32

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Solution

The fourth proportional to 8,917.71, 12,311.40 and 6,089.32 is: 8,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.71 : 12,311.40 = 6,089.32 : x
  2. Step 2: Convert to fraction form
    8,917.71/12,311.40 = 6,089.32/x
  3. Step 3: Cross multiply
    8,917.71x = 12,311.40 × 6,089.32
  4. Step 4: Simplify right side
    8,917.71x = 74,968,054.25
  5. Step 5: Solve for x
    x = 74,968,054.25/8,917.71
  6. Step 6: Final answer
    x = 8,406.65

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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.