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Finding the Fourth Proportional to 19,902.60, 27,460.62 and 12,820.50

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Solution

The fourth proportional to 19,902.60, 27,460.62 and 12,820.50 is: 17,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.60 : 27,460.62 = 12,820.50 : x
  2. Step 2: Convert to fraction form
    19,902.60/27,460.62 = 12,820.50/x
  3. Step 3: Cross multiply
    19,902.60x = 27,460.62 × 12,820.50
  4. Step 4: Simplify right side
    19,902.60x = 352,058,878.71
  5. Step 5: Solve for x
    x = 352,058,878.71/19,902.60
  6. Step 6: Final answer
    x = 17,689.09

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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.