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Finding the Fourth Proportional to 5,507, 8,261.52 and 1,809.44

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Solution

The fourth proportional to 5,507, 8,261.52 and 1,809.44 is: 2,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507 : 8,261.52 = 1,809.44 : x
  2. Step 2: Convert to fraction form
    5,507/8,261.52 = 1,809.44/x
  3. Step 3: Cross multiply
    5,507x = 8,261.52 × 1,809.44
  4. Step 4: Simplify right side
    5,507x = 14,948,724.75
  5. Step 5: Solve for x
    x = 14,948,724.75/5,507
  6. Step 6: Final answer
    x = 2,714.50

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Double scale
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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.