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Finding the Fourth Proportional to 14,362.31, 19,820.90 and 8,075.09

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Solution

The fourth proportional to 14,362.31, 19,820.90 and 8,075.09 is: 11,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.31 : 19,820.90 = 8,075.09 : x
  2. Step 2: Convert to fraction form
    14,362.31/19,820.90 = 8,075.09/x
  3. Step 3: Cross multiply
    14,362.31x = 19,820.90 × 8,075.09
  4. Step 4: Simplify right side
    14,362.31x = 160,055,551.38
  5. Step 5: Solve for x
    x = 160,055,551.38/14,362.31
  6. Step 6: Final answer
    x = 11,144.14

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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.