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Finding the Fourth Proportional to 12,720.65, 17,563.02 and 7,947.86

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Solution

The fourth proportional to 12,720.65, 17,563.02 and 7,947.86 is: 10,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.65 : 17,563.02 = 7,947.86 : x
  2. Step 2: Convert to fraction form
    12,720.65/17,563.02 = 7,947.86/x
  3. Step 3: Cross multiply
    12,720.65x = 17,563.02 × 7,947.86
  4. Step 4: Simplify right side
    12,720.65x = 139,588,424.14
  5. Step 5: Solve for x
    x = 139,588,424.14/12,720.65
  6. Step 6: Final answer
    x = 10,973.37

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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.