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Finding the Fourth Proportional to 23,300, 34,946.48 and 7,715.68

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Solution

The fourth proportional to 23,300, 34,946.48 and 7,715.68 is: 11,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300 : 34,946.48 = 7,715.68 : x
  2. Step 2: Convert to fraction form
    23,300/34,946.48 = 7,715.68/x
  3. Step 3: Cross multiply
    23,300x = 34,946.48 × 7,715.68
  4. Step 4: Simplify right side
    23,300x = 269,635,856.81
  5. Step 5: Solve for x
    x = 269,635,856.81/23,300
  6. Step 6: Final answer
    x = 11,572.35

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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.