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Finding the Fourth Proportional to 5,625.84, 7,764.16 and 3,388.40

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Solution

The fourth proportional to 5,625.84, 7,764.16 and 3,388.40 is: 4,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.84 : 7,764.16 = 3,388.40 : x
  2. Step 2: Convert to fraction form
    5,625.84/7,764.16 = 3,388.40/x
  3. Step 3: Cross multiply
    5,625.84x = 7,764.16 × 3,388.40
  4. Step 4: Simplify right side
    5,625.84x = 26,308,079.74
  5. Step 5: Solve for x
    x = 26,308,079.74/5,625.84
  6. Step 6: Final answer
    x = 4,676.29

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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.