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Finding the Fourth Proportional to 10,203.72, 15,309.42 and 6,947.52

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Solution

The fourth proportional to 10,203.72, 15,309.42 and 6,947.52 is: 10,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.72 : 15,309.42 = 6,947.52 : x
  2. Step 2: Convert to fraction form
    10,203.72/15,309.42 = 6,947.52/x
  3. Step 3: Cross multiply
    10,203.72x = 15,309.42 × 6,947.52
  4. Step 4: Simplify right side
    10,203.72x = 106,362,501.64
  5. Step 5: Solve for x
    x = 106,362,501.64/10,203.72
  6. Step 6: Final answer
    x = 10,423.89

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1.5x scale

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.