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Finding the Fourth Proportional to 2,075.13, 3,112.69 and 614.16

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Solution

The fourth proportional to 2,075.13, 3,112.69 and 614.16 is: 921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.13 : 3,112.69 = 614.16 : x
  2. Step 2: Convert to fraction form
    2,075.13/3,112.69 = 614.16/x
  3. Step 3: Cross multiply
    2,075.13x = 3,112.69 × 614.16
  4. Step 4: Simplify right side
    2,075.13x = 1,911,699.83
  5. Step 5: Solve for x
    x = 1,911,699.83/2,075.13
  6. Step 6: Final answer
    x = 921.24

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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.