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Finding the Fourth Proportional to 19,773, 29,666.34 and 12,368.64

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Solution

The fourth proportional to 19,773, 29,666.34 and 12,368.64 is: 18,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773 : 29,666.34 = 12,368.64 : x
  2. Step 2: Convert to fraction form
    19,773/29,666.34 = 12,368.64/x
  3. Step 3: Cross multiply
    19,773x = 29,666.34 × 12,368.64
  4. Step 4: Simplify right side
    19,773x = 366,932,279.58
  5. Step 5: Solve for x
    x = 366,932,279.58/19,773
  6. Step 6: Final answer
    x = 18,557.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.