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Finding the Fourth Proportional to 7,870.96, 11,745.04 and 7,172.33

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Solution

The fourth proportional to 7,870.96, 11,745.04 and 7,172.33 is: 10,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.96 : 11,745.04 = 7,172.33 : x
  2. Step 2: Convert to fraction form
    7,870.96/11,745.04 = 7,172.33/x
  3. Step 3: Cross multiply
    7,870.96x = 11,745.04 × 7,172.33
  4. Step 4: Simplify right side
    7,870.96x = 84,239,302.74
  5. Step 5: Solve for x
    x = 84,239,302.74/7,870.96
  6. Step 6: Final answer
    x = 10,702.55

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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.