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Finding the Fourth Proportional to 14,423.80, 21,643.80 and 6,102.40

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Solution

The fourth proportional to 14,423.80, 21,643.80 and 6,102.40 is: 9,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.80 : 21,643.80 = 6,102.40 : x
  2. Step 2: Convert to fraction form
    14,423.80/21,643.80 = 6,102.40/x
  3. Step 3: Cross multiply
    14,423.80x = 21,643.80 × 6,102.40
  4. Step 4: Simplify right side
    14,423.80x = 132,079,125.12
  5. Step 5: Solve for x
    x = 132,079,125.12/14,423.80
  6. Step 6: Final answer
    x = 9,157.03

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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.