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Finding the Fourth Proportional to 7,871.99, 11,807.59 and 2,941.24

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Solution

The fourth proportional to 7,871.99, 11,807.59 and 2,941.24 is: 4,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.99 : 11,807.59 = 2,941.24 : x
  2. Step 2: Convert to fraction form
    7,871.99/11,807.59 = 2,941.24/x
  3. Step 3: Cross multiply
    7,871.99x = 11,807.59 × 2,941.24
  4. Step 4: Simplify right side
    7,871.99x = 34,728,901.18
  5. Step 5: Solve for x
    x = 34,728,901.18/7,871.99
  6. Step 6: Final answer
    x = 4,411.71

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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.