Home / 10,206.92-15,288-5,281.40

Finding the Fourth Proportional to 10,206.92, 15,288 and 5,281.40

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Solution

The fourth proportional to 10,206.92, 15,288 and 5,281.40 is: 7,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.92 : 15,288 = 5,281.40 : x
  2. Step 2: Convert to fraction form
    10,206.92/15,288 = 5,281.40/x
  3. Step 3: Cross multiply
    10,206.92x = 15,288 × 5,281.40
  4. Step 4: Simplify right side
    10,206.92x = 80,742,043.20
  5. Step 5: Solve for x
    x = 80,742,043.20/10,206.92
  6. Step 6: Final answer
    x = 7,910.52

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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.