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Finding the Fourth Proportional to 15,533.50, 21,436.71 and 8,909.50

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Solution

The fourth proportional to 15,533.50, 21,436.71 and 8,909.50 is: 12,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.50 : 21,436.71 = 8,909.50 : x
  2. Step 2: Convert to fraction form
    15,533.50/21,436.71 = 8,909.50/x
  3. Step 3: Cross multiply
    15,533.50x = 21,436.71 × 8,909.50
  4. Step 4: Simplify right side
    15,533.50x = 190,990,367.75
  5. Step 5: Solve for x
    x = 190,990,367.75/15,533.50
  6. Step 6: Final answer
    x = 12,295.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.