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Finding the Fourth Proportional to 7,143.42, 10,715.03 and 6,966.94

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Solution

The fourth proportional to 7,143.42, 10,715.03 and 6,966.94 is: 10,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.42 : 10,715.03 = 6,966.94 : x
  2. Step 2: Convert to fraction form
    7,143.42/10,715.03 = 6,966.94/x
  3. Step 3: Cross multiply
    7,143.42x = 10,715.03 × 6,966.94
  4. Step 4: Simplify right side
    7,143.42x = 74,650,971.11
  5. Step 5: Solve for x
    x = 74,650,971.11/7,143.42
  6. Step 6: Final answer
    x = 10,450.31

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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.