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Finding the Fourth Proportional to 18,930, 26,156.16 and 15,570

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Solution

The fourth proportional to 18,930, 26,156.16 and 15,570 is: 21,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930 : 26,156.16 = 15,570 : x
  2. Step 2: Convert to fraction form
    18,930/26,156.16 = 15,570/x
  3. Step 3: Cross multiply
    18,930x = 26,156.16 × 15,570
  4. Step 4: Simplify right side
    18,930x = 407,251,411.20
  5. Step 5: Solve for x
    x = 407,251,411.20/18,930
  6. Step 6: Final answer
    x = 21,513.55

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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.