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Finding the Fourth Proportional to 6,448.66, 9,666.14 and 4,101.28

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Solution

The fourth proportional to 6,448.66, 9,666.14 and 4,101.28 is: 6,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.66 : 9,666.14 = 4,101.28 : x
  2. Step 2: Convert to fraction form
    6,448.66/9,666.14 = 4,101.28/x
  3. Step 3: Cross multiply
    6,448.66x = 9,666.14 × 4,101.28
  4. Step 4: Simplify right side
    6,448.66x = 39,643,501.99
  5. Step 5: Solve for x
    x = 39,643,501.99/6,448.66
  6. Step 6: Final answer
    x = 6,147.56

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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.