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Finding the Fourth Proportional to 14,582, 20,123.64 and 7,958

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Solution

The fourth proportional to 14,582, 20,123.64 and 7,958 is: 10,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582 : 20,123.64 = 7,958 : x
  2. Step 2: Convert to fraction form
    14,582/20,123.64 = 7,958/x
  3. Step 3: Cross multiply
    14,582x = 20,123.64 × 7,958
  4. Step 4: Simplify right side
    14,582x = 160,143,927.12
  5. Step 5: Solve for x
    x = 160,143,927.12/14,582
  6. Step 6: Final answer
    x = 10,982.30

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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.