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Finding the Fourth Proportional to 7,140.02, 10,710 and 2,867.67

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Solution

The fourth proportional to 7,140.02, 10,710 and 2,867.67 is: 4,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.02 : 10,710 = 2,867.67 : x
  2. Step 2: Convert to fraction form
    7,140.02/10,710 = 2,867.67/x
  3. Step 3: Cross multiply
    7,140.02x = 10,710 × 2,867.67
  4. Step 4: Simplify right side
    7,140.02x = 30,712,745.70
  5. Step 5: Solve for x
    x = 30,712,745.70/7,140.02
  6. Step 6: Final answer
    x = 4,301.50

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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.