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Finding the Fourth Proportional to 20,712, 28,585.26 and 12,328.50

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Solution

The fourth proportional to 20,712, 28,585.26 and 12,328.50 is: 17,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712 : 28,585.26 = 12,328.50 : x
  2. Step 2: Convert to fraction form
    20,712/28,585.26 = 12,328.50/x
  3. Step 3: Cross multiply
    20,712x = 28,585.26 × 12,328.50
  4. Step 4: Simplify right side
    20,712x = 352,413,377.91
  5. Step 5: Solve for x
    x = 352,413,377.91/20,712
  6. Step 6: Final answer
    x = 17,014.94

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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.