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Finding the Fourth Proportional to 7,870.86, 11,744.88 and 7,172.22

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Solution

The fourth proportional to 7,870.86, 11,744.88 and 7,172.22 is: 10,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.86 : 11,744.88 = 7,172.22 : x
  2. Step 2: Convert to fraction form
    7,870.86/11,744.88 = 7,172.22/x
  3. Step 3: Cross multiply
    7,870.86x = 11,744.88 × 7,172.22
  4. Step 4: Simplify right side
    7,870.86x = 84,236,863.23
  5. Step 5: Solve for x
    x = 84,236,863.23/7,870.86
  6. Step 6: Final answer
    x = 10,702.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.