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Finding the Fourth Proportional to 15,172.11, 20,947.95 and 9,509.13

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Solution

The fourth proportional to 15,172.11, 20,947.95 and 9,509.13 is: 13,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.11 : 20,947.95 = 9,509.13 : x
  2. Step 2: Convert to fraction form
    15,172.11/20,947.95 = 9,509.13/x
  3. Step 3: Cross multiply
    15,172.11x = 20,947.95 × 9,509.13
  4. Step 4: Simplify right side
    15,172.11x = 199,196,779.78
  5. Step 5: Solve for x
    x = 199,196,779.78/15,172.11
  6. Step 6: Final answer
    x = 13,129.14

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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.