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Finding the Fourth Proportional to 14,307.76, 21,456.24 and 6,909.76

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Solution

The fourth proportional to 14,307.76, 21,456.24 and 6,909.76 is: 10,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.76 : 21,456.24 = 6,909.76 : x
  2. Step 2: Convert to fraction form
    14,307.76/21,456.24 = 6,909.76/x
  3. Step 3: Cross multiply
    14,307.76x = 21,456.24 × 6,909.76
  4. Step 4: Simplify right side
    14,307.76x = 148,257,468.90
  5. Step 5: Solve for x
    x = 148,257,468.90/14,307.76
  6. Step 6: Final answer
    x = 10,362.03

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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.