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Finding the Fourth Proportional to 7,871.40, 11,816.70 and 7,813.80

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Solution

The fourth proportional to 7,871.40, 11,816.70 and 7,813.80 is: 11,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.40 : 11,816.70 = 7,813.80 : x
  2. Step 2: Convert to fraction form
    7,871.40/11,816.70 = 7,813.80/x
  3. Step 3: Cross multiply
    7,871.40x = 11,816.70 × 7,813.80
  4. Step 4: Simplify right side
    7,871.40x = 92,333,330.46
  5. Step 5: Solve for x
    x = 92,333,330.46/7,871.40
  6. Step 6: Final answer
    x = 11,730.23

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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.