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Finding the Fourth Proportional to 20,710, 28,582.50 and 12,326.50

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Solution

The fourth proportional to 20,710, 28,582.50 and 12,326.50 is: 17,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 28,582.50 = 12,326.50 : x
  2. Step 2: Convert to fraction form
    20,710/28,582.50 = 12,326.50/x
  3. Step 3: Cross multiply
    20,710x = 28,582.50 × 12,326.50
  4. Step 4: Simplify right side
    20,710x = 352,322,186.25
  5. Step 5: Solve for x
    x = 352,322,186.25/20,710
  6. Step 6: Final answer
    x = 17,012.18

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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.