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Finding the Fourth Proportional to 15,201.63, 20,970.98 and 9,533.54

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Solution

The fourth proportional to 15,201.63, 20,970.98 and 9,533.54 is: 13,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.63 : 20,970.98 = 9,533.54 : x
  2. Step 2: Convert to fraction form
    15,201.63/20,970.98 = 9,533.54/x
  3. Step 3: Cross multiply
    15,201.63x = 20,970.98 × 9,533.54
  4. Step 4: Simplify right side
    15,201.63x = 199,927,524.15
  5. Step 5: Solve for x
    x = 199,927,524.15/15,201.63
  6. Step 6: Final answer
    x = 13,151.72

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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.