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Finding the Fourth Proportional to 5,624.50, 7,764.89 and 3,386.88

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Solution

The fourth proportional to 5,624.50, 7,764.89 and 3,386.88 is: 4,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.50 : 7,764.89 = 3,386.88 : x
  2. Step 2: Convert to fraction form
    5,624.50/7,764.89 = 3,386.88/x
  3. Step 3: Cross multiply
    5,624.50x = 7,764.89 × 3,386.88
  4. Step 4: Simplify right side
    5,624.50x = 26,298,750.64
  5. Step 5: Solve for x
    x = 26,298,750.64/5,624.50
  6. Step 6: Final answer
    x = 4,675.75

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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.