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Finding the Fourth Proportional to 7,218, 10,771.14 and 6,440.40

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Solution

The fourth proportional to 7,218, 10,771.14 and 6,440.40 is: 9,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218 : 10,771.14 = 6,440.40 : x
  2. Step 2: Convert to fraction form
    7,218/10,771.14 = 6,440.40/x
  3. Step 3: Cross multiply
    7,218x = 10,771.14 × 6,440.40
  4. Step 4: Simplify right side
    7,218x = 69,370,450.06
  5. Step 5: Solve for x
    x = 69,370,450.06/7,218
  6. Step 6: Final answer
    x = 9,610.76

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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.