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Finding the Fourth Proportional to 7,309, 10,963.50 and 2,114.92

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Solution

The fourth proportional to 7,309, 10,963.50 and 2,114.92 is: 3,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309 : 10,963.50 = 2,114.92 : x
  2. Step 2: Convert to fraction form
    7,309/10,963.50 = 2,114.92/x
  3. Step 3: Cross multiply
    7,309x = 10,963.50 × 2,114.92
  4. Step 4: Simplify right side
    7,309x = 23,186,925.42
  5. Step 5: Solve for x
    x = 23,186,925.42/7,309
  6. Step 6: Final answer
    x = 3,172.38

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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.