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Finding the Fourth Proportional to 11,426.39, 15,768 and 6,646.71

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Solution

The fourth proportional to 11,426.39, 15,768 and 6,646.71 is: 9,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.39 : 15,768 = 6,646.71 : x
  2. Step 2: Convert to fraction form
    11,426.39/15,768 = 6,646.71/x
  3. Step 3: Cross multiply
    11,426.39x = 15,768 × 6,646.71
  4. Step 4: Simplify right side
    11,426.39x = 104,805,323.28
  5. Step 5: Solve for x
    x = 104,805,323.28/11,426.39
  6. Step 6: Final answer
    x = 9,172.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.