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Finding the Fourth Proportional to 5,346.80, 8,009.40 and 3,705.20

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Solution

The fourth proportional to 5,346.80, 8,009.40 and 3,705.20 is: 5,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.80 : 8,009.40 = 3,705.20 : x
  2. Step 2: Convert to fraction form
    5,346.80/8,009.40 = 3,705.20/x
  3. Step 3: Cross multiply
    5,346.80x = 8,009.40 × 3,705.20
  4. Step 4: Simplify right side
    5,346.80x = 29,676,428.88
  5. Step 5: Solve for x
    x = 29,676,428.88/5,346.80
  6. Step 6: Final answer
    x = 5,550.32

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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.