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Finding the Fourth Proportional to 10,995.80, 15,174.95 and 6,214.08

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Solution

The fourth proportional to 10,995.80, 15,174.95 and 6,214.08 is: 8,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.80 : 15,174.95 = 6,214.08 : x
  2. Step 2: Convert to fraction form
    10,995.80/15,174.95 = 6,214.08/x
  3. Step 3: Cross multiply
    10,995.80x = 15,174.95 × 6,214.08
  4. Step 4: Simplify right side
    10,995.80x = 94,298,322.23
  5. Step 5: Solve for x
    x = 94,298,322.23/10,995.80
  6. Step 6: Final answer
    x = 8,575.85

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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.