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Finding the Fourth Proportional to 6,651.81, 9,977.66 and 2,547.81

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Solution

The fourth proportional to 6,651.81, 9,977.66 and 2,547.81 is: 3,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.81 : 9,977.66 = 2,547.81 : x
  2. Step 2: Convert to fraction form
    6,651.81/9,977.66 = 2,547.81/x
  3. Step 3: Cross multiply
    6,651.81x = 9,977.66 × 2,547.81
  4. Step 4: Simplify right side
    6,651.81x = 25,421,169.19
  5. Step 5: Solve for x
    x = 25,421,169.19/6,651.81
  6. Step 6: Final answer
    x = 3,821.69

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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.