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Finding the Fourth Proportional to 20,710, 28,575.98 and 12,214.80

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Solution

The fourth proportional to 20,710, 28,575.98 and 12,214.80 is: 16,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 28,575.98 = 12,214.80 : x
  2. Step 2: Convert to fraction form
    20,710/28,575.98 = 12,214.80/x
  3. Step 3: Cross multiply
    20,710x = 28,575.98 × 12,214.80
  4. Step 4: Simplify right side
    20,710x = 349,049,880.50
  5. Step 5: Solve for x
    x = 349,049,880.50/20,710
  6. Step 6: Final answer
    x = 16,854.17

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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.