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Finding the Fourth Proportional to 6,427.80, 8,869.74 and 3,633.24

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Solution

The fourth proportional to 6,427.80, 8,869.74 and 3,633.24 is: 5,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.80 : 8,869.74 = 3,633.24 : x
  2. Step 2: Convert to fraction form
    6,427.80/8,869.74 = 3,633.24/x
  3. Step 3: Cross multiply
    6,427.80x = 8,869.74 × 3,633.24
  4. Step 4: Simplify right side
    6,427.80x = 32,225,894.16
  5. Step 5: Solve for x
    x = 32,225,894.16/6,427.80
  6. Step 6: Final answer
    x = 5,013.52

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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.