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Finding the Fourth Proportional to 12,597.68, 18,870.60 and 7,391

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Solution

The fourth proportional to 12,597.68, 18,870.60 and 7,391 is: 11,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.68 : 18,870.60 = 7,391 : x
  2. Step 2: Convert to fraction form
    12,597.68/18,870.60 = 7,391/x
  3. Step 3: Cross multiply
    12,597.68x = 18,870.60 × 7,391
  4. Step 4: Simplify right side
    12,597.68x = 139,472,604.60
  5. Step 5: Solve for x
    x = 139,472,604.60/12,597.68
  6. Step 6: Final answer
    x = 11,071.29

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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.