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Finding the Fourth Proportional to 22,969, 31,699.65 and 14,585.50

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Solution

The fourth proportional to 22,969, 31,699.65 and 14,585.50 is: 20,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969 : 31,699.65 = 14,585.50 : x
  2. Step 2: Convert to fraction form
    22,969/31,699.65 = 14,585.50/x
  3. Step 3: Cross multiply
    22,969x = 31,699.65 × 14,585.50
  4. Step 4: Simplify right side
    22,969x = 462,355,245.08
  5. Step 5: Solve for x
    x = 462,355,245.08/22,969
  6. Step 6: Final answer
    x = 20,129.53

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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.