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Finding the Fourth Proportional to 7,948.94, 11,865.09 and 7,362.50

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Solution

The fourth proportional to 7,948.94, 11,865.09 and 7,362.50 is: 10,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.94 : 11,865.09 = 7,362.50 : x
  2. Step 2: Convert to fraction form
    7,948.94/11,865.09 = 7,362.50/x
  3. Step 3: Cross multiply
    7,948.94x = 11,865.09 × 7,362.50
  4. Step 4: Simplify right side
    7,948.94x = 87,356,688.31
  5. Step 5: Solve for x
    x = 87,356,688.31/7,948.94
  6. Step 6: Final answer
    x = 10,989.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.