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Finding the Fourth Proportional to 8,528.00, 12,784.14 and 7,827.48

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Solution

The fourth proportional to 8,528.00, 12,784.14 and 7,827.48 is: 11,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.00 : 12,784.14 = 7,827.48 : x
  2. Step 2: Convert to fraction form
    8,528.00/12,784.14 = 7,827.48/x
  3. Step 3: Cross multiply
    8,528.00x = 12,784.14 × 7,827.48
  4. Step 4: Simplify right side
    8,528.00x = 100,067,600.17
  5. Step 5: Solve for x
    x = 100,067,600.17/8,528.00
  6. Step 6: Final answer
    x = 11,734.01

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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.