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Finding the Fourth Proportional to 10,384.30, 15,544.05 and 7,468.30

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Solution

The fourth proportional to 10,384.30, 15,544.05 and 7,468.30 is: 11,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.30 : 15,544.05 = 7,468.30 : x
  2. Step 2: Convert to fraction form
    10,384.30/15,544.05 = 7,468.30/x
  3. Step 3: Cross multiply
    10,384.30x = 15,544.05 × 7,468.30
  4. Step 4: Simplify right side
    10,384.30x = 116,087,628.62
  5. Step 5: Solve for x
    x = 116,087,628.62/10,384.30
  6. Step 6: Final answer
    x = 11,179.15

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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.