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Finding the Fourth Proportional to 8,298.53, 11,454.91 and 7,412.79

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Solution

The fourth proportional to 8,298.53, 11,454.91 and 7,412.79 is: 10,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.53 : 11,454.91 = 7,412.79 : x
  2. Step 2: Convert to fraction form
    8,298.53/11,454.91 = 7,412.79/x
  3. Step 3: Cross multiply
    8,298.53x = 11,454.91 × 7,412.79
  4. Step 4: Simplify right side
    8,298.53x = 84,912,866.72
  5. Step 5: Solve for x
    x = 84,912,866.72/8,298.53
  6. Step 6: Final answer
    x = 10,232.28

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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.