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Finding the Fourth Proportional to 7,215, 10,766.67 and 6,437.40

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Solution

The fourth proportional to 7,215, 10,766.67 and 6,437.40 is: 9,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215 : 10,766.67 = 6,437.40 : x
  2. Step 2: Convert to fraction form
    7,215/10,766.67 = 6,437.40/x
  3. Step 3: Cross multiply
    7,215x = 10,766.67 × 6,437.40
  4. Step 4: Simplify right side
    7,215x = 69,309,361.46
  5. Step 5: Solve for x
    x = 69,309,361.46/7,215
  6. Step 6: Final answer
    x = 9,606.29

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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.