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Finding the Fourth Proportional to 14,421, 21,612.86 and 7,395.18

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Solution

The fourth proportional to 14,421, 21,612.86 and 7,395.18 is: 11,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 21,612.86 = 7,395.18 : x
  2. Step 2: Convert to fraction form
    14,421/21,612.86 = 7,395.18/x
  3. Step 3: Cross multiply
    14,421x = 21,612.86 × 7,395.18
  4. Step 4: Simplify right side
    14,421x = 159,830,990.01
  5. Step 5: Solve for x
    x = 159,830,990.01/14,421
  6. Step 6: Final answer
    x = 11,083.21

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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.