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Finding the Fourth Proportional to 16,978, 23,429.64 and 9,526.16

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Solution

The fourth proportional to 16,978, 23,429.64 and 9,526.16 is: 13,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978 : 23,429.64 = 9,526.16 : x
  2. Step 2: Convert to fraction form
    16,978/23,429.64 = 9,526.16/x
  3. Step 3: Cross multiply
    16,978x = 23,429.64 × 9,526.16
  4. Step 4: Simplify right side
    16,978x = 223,194,499.38
  5. Step 5: Solve for x
    x = 223,194,499.38/16,978
  6. Step 6: Final answer
    x = 13,146.10

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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.