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Finding the Fourth Proportional to 20,075.70, 27,695.70 and 14,111.22

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Solution

The fourth proportional to 20,075.70, 27,695.70 and 14,111.22 is: 19,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.70 : 27,695.70 = 14,111.22 : x
  2. Step 2: Convert to fraction form
    20,075.70/27,695.70 = 14,111.22/x
  3. Step 3: Cross multiply
    20,075.70x = 27,695.70 × 14,111.22
  4. Step 4: Simplify right side
    20,075.70x = 390,820,115.75
  5. Step 5: Solve for x
    x = 390,820,115.75/20,075.70
  6. Step 6: Final answer
    x = 19,467.32

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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.