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Finding the Fourth Proportional to 7,143.17, 10,709.08 and 2,980.58

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Solution

The fourth proportional to 7,143.17, 10,709.08 and 2,980.58 is: 4,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.17 : 10,709.08 = 2,980.58 : x
  2. Step 2: Convert to fraction form
    7,143.17/10,709.08 = 2,980.58/x
  3. Step 3: Cross multiply
    7,143.17x = 10,709.08 × 2,980.58
  4. Step 4: Simplify right side
    7,143.17x = 31,919,269.67
  5. Step 5: Solve for x
    x = 31,919,269.67/7,143.17
  6. Step 6: Final answer
    x = 4,468.50

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1.5x scale

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.