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Finding the Fourth Proportional to 34,947, 52,420.50 and 14,170.50

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Solution

The fourth proportional to 34,947, 52,420.50 and 14,170.50 is: 21,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947 : 52,420.50 = 14,170.50 : x
  2. Step 2: Convert to fraction form
    34,947/52,420.50 = 14,170.50/x
  3. Step 3: Cross multiply
    34,947x = 52,420.50 × 14,170.50
  4. Step 4: Simplify right side
    34,947x = 742,824,695.25
  5. Step 5: Solve for x
    x = 742,824,695.25/34,947
  6. Step 6: Final answer
    x = 21,255.75

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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.