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Finding the Fourth Proportional to 6,528.54, 9,780.05 and 5,214.98

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Solution

The fourth proportional to 6,528.54, 9,780.05 and 5,214.98 is: 7,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.54 : 9,780.05 = 5,214.98 : x
  2. Step 2: Convert to fraction form
    6,528.54/9,780.05 = 5,214.98/x
  3. Step 3: Cross multiply
    6,528.54x = 9,780.05 × 5,214.98
  4. Step 4: Simplify right side
    6,528.54x = 51,002,729.29
  5. Step 5: Solve for x
    x = 51,002,729.29/6,528.54
  6. Step 6: Final answer
    x = 7,812.27

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1.5x scale

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.