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Finding the Fourth Proportional to 7,762.40, 11,581.96 and 7,211.84

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Solution

The fourth proportional to 7,762.40, 11,581.96 and 7,211.84 is: 10,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.40 : 11,581.96 = 7,211.84 : x
  2. Step 2: Convert to fraction form
    7,762.40/11,581.96 = 7,211.84/x
  3. Step 3: Cross multiply
    7,762.40x = 11,581.96 × 7,211.84
  4. Step 4: Simplify right side
    7,762.40x = 83,527,242.41
  5. Step 5: Solve for x
    x = 83,527,242.41/7,762.40
  6. Step 6: Final answer
    x = 10,760.49

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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.