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Finding the Fourth Proportional to 21,590, 29,807.16 and 14,150.96

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Solution

The fourth proportional to 21,590, 29,807.16 and 14,150.96 is: 19,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590 : 29,807.16 = 14,150.96 : x
  2. Step 2: Convert to fraction form
    21,590/29,807.16 = 14,150.96/x
  3. Step 3: Cross multiply
    21,590x = 29,807.16 × 14,150.96
  4. Step 4: Simplify right side
    21,590x = 421,799,928.87
  5. Step 5: Solve for x
    x = 421,799,928.87/21,590
  6. Step 6: Final answer
    x = 19,536.82

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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.