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Finding the Fourth Proportional to 21,470, 29,603.64 and 20,141.60

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Solution

The fourth proportional to 21,470, 29,603.64 and 20,141.60 is: 27,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470 : 29,603.64 = 20,141.60 : x
  2. Step 2: Convert to fraction form
    21,470/29,603.64 = 20,141.60/x
  3. Step 3: Cross multiply
    21,470x = 29,603.64 × 20,141.60
  4. Step 4: Simplify right side
    21,470x = 596,264,675.42
  5. Step 5: Solve for x
    x = 596,264,675.42/21,470
  6. Step 6: Final answer
    x = 27,771.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.