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Finding the Fourth Proportional to 10,206.40, 15,302.40 and 4,662.40

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Solution

The fourth proportional to 10,206.40, 15,302.40 and 4,662.40 is: 6,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.40 : 15,302.40 = 4,662.40 : x
  2. Step 2: Convert to fraction form
    10,206.40/15,302.40 = 4,662.40/x
  3. Step 3: Cross multiply
    10,206.40x = 15,302.40 × 4,662.40
  4. Step 4: Simplify right side
    10,206.40x = 71,345,909.76
  5. Step 5: Solve for x
    x = 71,345,909.76/10,206.40
  6. Step 6: Final answer
    x = 6,990.31

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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.