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Finding the Fourth Proportional to 7,141, 10,711.64 and 1,947.01

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Solution

The fourth proportional to 7,141, 10,711.64 and 1,947.01 is: 2,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141 : 10,711.64 = 1,947.01 : x
  2. Step 2: Convert to fraction form
    7,141/10,711.64 = 1,947.01/x
  3. Step 3: Cross multiply
    7,141x = 10,711.64 × 1,947.01
  4. Step 4: Simplify right side
    7,141x = 20,855,670.20
  5. Step 5: Solve for x
    x = 20,855,670.20/7,141
  6. Step 6: Final answer
    x = 2,920.55

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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.