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Finding the Fourth Proportional to 11,642.40, 16,066.03 and 6,606.51

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Solution

The fourth proportional to 11,642.40, 16,066.03 and 6,606.51 is: 9,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.40 : 16,066.03 = 6,606.51 : x
  2. Step 2: Convert to fraction form
    11,642.40/16,066.03 = 6,606.51/x
  3. Step 3: Cross multiply
    11,642.40x = 16,066.03 × 6,606.51
  4. Step 4: Simplify right side
    11,642.40x = 106,140,387.86
  5. Step 5: Solve for x
    x = 106,140,387.86/11,642.40
  6. Step 6: Final answer
    x = 9,116.71

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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.