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Finding the Fourth Proportional to 15,075.25, 20,786.87 and 9,617.06

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Solution

The fourth proportional to 15,075.25, 20,786.87 and 9,617.06 is: 13,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.25 : 20,786.87 = 9,617.06 : x
  2. Step 2: Convert to fraction form
    15,075.25/20,786.87 = 9,617.06/x
  3. Step 3: Cross multiply
    15,075.25x = 20,786.87 × 9,617.06
  4. Step 4: Simplify right side
    15,075.25x = 199,908,652.01
  5. Step 5: Solve for x
    x = 199,908,652.01/15,075.25
  6. Step 6: Final answer
    x = 13,260.72

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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.