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Finding the Fourth Proportional to 10,689.42, 14,747.22 and 6,212.37

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Solution

The fourth proportional to 10,689.42, 14,747.22 and 6,212.37 is: 8,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.42 : 14,747.22 = 6,212.37 : x
  2. Step 2: Convert to fraction form
    10,689.42/14,747.22 = 6,212.37/x
  3. Step 3: Cross multiply
    10,689.42x = 14,747.22 × 6,212.37
  4. Step 4: Simplify right side
    10,689.42x = 91,615,187.11
  5. Step 5: Solve for x
    x = 91,615,187.11/10,689.42
  6. Step 6: Final answer
    x = 8,570.64

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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.