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Finding the Fourth Proportional to 10,689.37, 14,747.74 and 6,917.31

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Solution

The fourth proportional to 10,689.37, 14,747.74 and 6,917.31 is: 9,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.37 : 14,747.74 = 6,917.31 : x
  2. Step 2: Convert to fraction form
    10,689.37/14,747.74 = 6,917.31/x
  3. Step 3: Cross multiply
    10,689.37x = 14,747.74 × 6,917.31
  4. Step 4: Simplify right side
    10,689.37x = 102,014,689.38
  5. Step 5: Solve for x
    x = 102,014,689.38/10,689.37
  6. Step 6: Final answer
    x = 9,543.56

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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.