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Finding the Fourth Proportional to 14,156, 21,084.48 and 13,415.84

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Solution

The fourth proportional to 14,156, 21,084.48 and 13,415.84 is: 19,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156 : 21,084.48 = 13,415.84 : x
  2. Step 2: Convert to fraction form
    14,156/21,084.48 = 13,415.84/x
  3. Step 3: Cross multiply
    14,156x = 21,084.48 × 13,415.84
  4. Step 4: Simplify right side
    14,156x = 282,866,010.16
  5. Step 5: Solve for x
    x = 282,866,010.16/14,156
  6. Step 6: Final answer
    x = 19,982.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.