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Finding the Fourth Proportional to 6,615.66, 9,129.46 and 4,257.80

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Solution

The fourth proportional to 6,615.66, 9,129.46 and 4,257.80 is: 5,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.66 : 9,129.46 = 4,257.80 : x
  2. Step 2: Convert to fraction form
    6,615.66/9,129.46 = 4,257.80/x
  3. Step 3: Cross multiply
    6,615.66x = 9,129.46 × 4,257.80
  4. Step 4: Simplify right side
    6,615.66x = 38,871,414.79
  5. Step 5: Solve for x
    x = 38,871,414.79/6,615.66
  6. Step 6: Final answer
    x = 5,875.67

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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.