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Finding the Fourth Proportional to 6,618.33, 9,928.14 and 1,688.01

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Solution

The fourth proportional to 6,618.33, 9,928.14 and 1,688.01 is: 2,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.33 : 9,928.14 = 1,688.01 : x
  2. Step 2: Convert to fraction form
    6,618.33/9,928.14 = 1,688.01/x
  3. Step 3: Cross multiply
    6,618.33x = 9,928.14 × 1,688.01
  4. Step 4: Simplify right side
    6,618.33x = 16,758,854.05
  5. Step 5: Solve for x
    x = 16,758,854.05/6,618.33
  6. Step 6: Final answer
    x = 2,532.19

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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.