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Finding the Fourth Proportional to 5,526.40, 8,287.40 and 1,827.60

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Solution

The fourth proportional to 5,526.40, 8,287.40 and 1,827.60 is: 2,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.40 : 8,287.40 = 1,827.60 : x
  2. Step 2: Convert to fraction form
    5,526.40/8,287.40 = 1,827.60/x
  3. Step 3: Cross multiply
    5,526.40x = 8,287.40 × 1,827.60
  4. Step 4: Simplify right side
    5,526.40x = 15,146,052.24
  5. Step 5: Solve for x
    x = 15,146,052.24/5,526.40
  6. Step 6: Final answer
    x = 2,740.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.