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Finding the Fourth Proportional to 9,865.86, 14,772.87 and 6,928.26

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Solution

The fourth proportional to 9,865.86, 14,772.87 and 6,928.26 is: 10,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.86 : 14,772.87 = 6,928.26 : x
  2. Step 2: Convert to fraction form
    9,865.86/14,772.87 = 6,928.26/x
  3. Step 3: Cross multiply
    9,865.86x = 14,772.87 × 6,928.26
  4. Step 4: Simplify right side
    9,865.86x = 102,350,284.31
  5. Step 5: Solve for x
    x = 102,350,284.31/9,865.86
  6. Step 6: Final answer
    x = 10,374.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.