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Finding the Fourth Proportional to 14,145, 21,214.76 and 13,442.53

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Solution

The fourth proportional to 14,145, 21,214.76 and 13,442.53 is: 20,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145 : 21,214.76 = 13,442.53 : x
  2. Step 2: Convert to fraction form
    14,145/21,214.76 = 13,442.53/x
  3. Step 3: Cross multiply
    14,145x = 21,214.76 × 13,442.53
  4. Step 4: Simplify right side
    14,145x = 285,179,941.67
  5. Step 5: Solve for x
    x = 285,179,941.67/14,145
  6. Step 6: Final answer
    x = 20,161.18

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1.5x scale

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.