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Finding the Fourth Proportional to 10,618.86, 14,649.93 and 6,841.74

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Solution

The fourth proportional to 10,618.86, 14,649.93 and 6,841.74 is: 9,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.86 : 14,649.93 = 6,841.74 : x
  2. Step 2: Convert to fraction form
    10,618.86/14,649.93 = 6,841.74/x
  3. Step 3: Cross multiply
    10,618.86x = 14,649.93 × 6,841.74
  4. Step 4: Simplify right side
    10,618.86x = 100,231,012.08
  5. Step 5: Solve for x
    x = 100,231,012.08/10,618.86
  6. Step 6: Final answer
    x = 9,438.96

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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.