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Finding the Fourth Proportional to 8,528.64, 12,775.86 and 6,776.52

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Solution

The fourth proportional to 8,528.64, 12,775.86 and 6,776.52 is: 10,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.64 : 12,775.86 = 6,776.52 : x
  2. Step 2: Convert to fraction form
    8,528.64/12,775.86 = 6,776.52/x
  3. Step 3: Cross multiply
    8,528.64x = 12,775.86 × 6,776.52
  4. Step 4: Simplify right side
    8,528.64x = 86,575,870.81
  5. Step 5: Solve for x
    x = 86,575,870.81/8,528.64
  6. Step 6: Final answer
    x = 10,151.19

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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.