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Finding the Fourth Proportional to 25,288, 34,897.40 and 13,957.51

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Solution

The fourth proportional to 25,288, 34,897.40 and 13,957.51 is: 19,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,288 : 34,897.40 = 13,957.51 : x
  2. Step 2: Convert to fraction form
    25,288/34,897.40 = 13,957.51/x
  3. Step 3: Cross multiply
    25,288x = 34,897.40 × 13,957.51
  4. Step 4: Simplify right side
    25,288x = 487,080,809.47
  5. Step 5: Solve for x
    x = 487,080,809.47/25,288
  6. Step 6: Final answer
    x = 19,261.34

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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.