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Finding the Fourth Proportional to 9,289.26, 12,807.45 and 7,944.66

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Solution

The fourth proportional to 9,289.26, 12,807.45 and 7,944.66 is: 10,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.26 : 12,807.45 = 7,944.66 : x
  2. Step 2: Convert to fraction form
    9,289.26/12,807.45 = 7,944.66/x
  3. Step 3: Cross multiply
    9,289.26x = 12,807.45 × 7,944.66
  4. Step 4: Simplify right side
    9,289.26x = 101,750,835.72
  5. Step 5: Solve for x
    x = 101,750,835.72/9,289.26
  6. Step 6: Final answer
    x = 10,953.60

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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.