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Finding the Fourth Proportional to 12,938.40, 19,409.40 and 5,145.40

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Solution

The fourth proportional to 12,938.40, 19,409.40 and 5,145.40 is: 7,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.40 : 19,409.40 = 5,145.40 : x
  2. Step 2: Convert to fraction form
    12,938.40/19,409.40 = 5,145.40/x
  3. Step 3: Cross multiply
    12,938.40x = 19,409.40 × 5,145.40
  4. Step 4: Simplify right side
    12,938.40x = 99,869,126.76
  5. Step 5: Solve for x
    x = 99,869,126.76/12,938.40
  6. Step 6: Final answer
    x = 7,718.82

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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.