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Finding the Fourth Proportional to 21,495.86, 29,670.48 and 12,998

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Solution

The fourth proportional to 21,495.86, 29,670.48 and 12,998 is: 17,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,495.86 : 29,670.48 = 12,998 : x
  2. Step 2: Convert to fraction form
    21,495.86/29,670.48 = 12,998/x
  3. Step 3: Cross multiply
    21,495.86x = 29,670.48 × 12,998
  4. Step 4: Simplify right side
    21,495.86x = 385,656,899.04
  5. Step 5: Solve for x
    x = 385,656,899.04/21,495.86
  6. Step 6: Final answer
    x = 17,940.98

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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.