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Finding the Fourth Proportional to 20,992, 28,970.72 and 14,719.36

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Solution

The fourth proportional to 20,992, 28,970.72 and 14,719.36 is: 20,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992 : 28,970.72 = 14,719.36 : x
  2. Step 2: Convert to fraction form
    20,992/28,970.72 = 14,719.36/x
  3. Step 3: Cross multiply
    20,992x = 28,970.72 × 14,719.36
  4. Step 4: Simplify right side
    20,992x = 426,430,457.14
  5. Step 5: Solve for x
    x = 426,430,457.14/20,992
  6. Step 6: Final answer
    x = 20,313.95

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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.