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Finding the Fourth Proportional to 15,202.95, 20,980.40 and 9,537.92

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Solution

The fourth proportional to 15,202.95, 20,980.40 and 9,537.92 is: 13,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.95 : 20,980.40 = 9,537.92 : x
  2. Step 2: Convert to fraction form
    15,202.95/20,980.40 = 9,537.92/x
  3. Step 3: Cross multiply
    15,202.95x = 20,980.40 × 9,537.92
  4. Step 4: Simplify right side
    15,202.95x = 200,109,224.18
  5. Step 5: Solve for x
    x = 200,109,224.18/15,202.95
  6. Step 6: Final answer
    x = 13,162.53

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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.