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Finding the Fourth Proportional to 8,902.80, 13,358.94 and 5,782.08

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Solution

The fourth proportional to 8,902.80, 13,358.94 and 5,782.08 is: 8,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.80 : 13,358.94 = 5,782.08 : x
  2. Step 2: Convert to fraction form
    8,902.80/13,358.94 = 5,782.08/x
  3. Step 3: Cross multiply
    8,902.80x = 13,358.94 × 5,782.08
  4. Step 4: Simplify right side
    8,902.80x = 77,242,459.80
  5. Step 5: Solve for x
    x = 77,242,459.80/8,902.80
  6. Step 6: Final answer
    x = 8,676.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.