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Finding the Fourth Proportional to 7,697.28, 11,547.28 and 3,801.68

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Solution

The fourth proportional to 7,697.28, 11,547.28 and 3,801.68 is: 5,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.28 : 11,547.28 = 3,801.68 : x
  2. Step 2: Convert to fraction form
    7,697.28/11,547.28 = 3,801.68/x
  3. Step 3: Cross multiply
    7,697.28x = 11,547.28 × 3,801.68
  4. Step 4: Simplify right side
    7,697.28x = 43,899,063.43
  5. Step 5: Solve for x
    x = 43,899,063.43/7,697.28
  6. Step 6: Final answer
    x = 5,703.19

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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.