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Finding the Fourth Proportional to 22,702.40, 34,075.20 and 19,419.20

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Solution

The fourth proportional to 22,702.40, 34,075.20 and 19,419.20 is: 29,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.40 : 34,075.20 = 19,419.20 : x
  2. Step 2: Convert to fraction form
    22,702.40/34,075.20 = 19,419.20/x
  3. Step 3: Cross multiply
    22,702.40x = 34,075.20 × 19,419.20
  4. Step 4: Simplify right side
    22,702.40x = 661,713,123.84
  5. Step 5: Solve for x
    x = 661,713,123.84/22,702.40
  6. Step 6: Final answer
    x = 29,147.28

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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.