Home / 5,219.34-7,830.68-1,709.40

Finding the Fourth Proportional to 5,219.34, 7,830.68 and 1,709.40

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Solution

The fourth proportional to 5,219.34, 7,830.68 and 1,709.40 is: 2,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.34 : 7,830.68 = 1,709.40 : x
  2. Step 2: Convert to fraction form
    5,219.34/7,830.68 = 1,709.40/x
  3. Step 3: Cross multiply
    5,219.34x = 7,830.68 × 1,709.40
  4. Step 4: Simplify right side
    5,219.34x = 13,385,785.21
  5. Step 5: Solve for x
    x = 13,385,785.21/5,219.34
  6. Step 6: Final answer
    x = 2,564.65

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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.