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Finding the Fourth Proportional to 21,598, 29,818.20 and 14,158.96

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Solution

The fourth proportional to 21,598, 29,818.20 and 14,158.96 is: 19,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598 : 29,818.20 = 14,158.96 : x
  2. Step 2: Convert to fraction form
    21,598/29,818.20 = 14,158.96/x
  3. Step 3: Cross multiply
    21,598x = 29,818.20 × 14,158.96
  4. Step 4: Simplify right side
    21,598x = 422,194,701.07
  5. Step 5: Solve for x
    x = 422,194,701.07/21,598
  6. Step 6: Final answer
    x = 19,547.86

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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.