Home / 10,780.64-16,166-5,590.16

Finding the Fourth Proportional to 10,780.64, 16,166 and 5,590.16

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Solution

The fourth proportional to 10,780.64, 16,166 and 5,590.16 is: 8,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.64 : 16,166 = 5,590.16 : x
  2. Step 2: Convert to fraction form
    10,780.64/16,166 = 5,590.16/x
  3. Step 3: Cross multiply
    10,780.64x = 16,166 × 5,590.16
  4. Step 4: Simplify right side
    10,780.64x = 90,370,526.56
  5. Step 5: Solve for x
    x = 90,370,526.56/10,780.64
  6. Step 6: Final answer
    x = 8,382.67

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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.