Home / 1,914.52-2,642-1,075.20

Finding the Fourth Proportional to 1,914.52, 2,642 and 1,075.20

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Solution

The fourth proportional to 1,914.52, 2,642 and 1,075.20 is: 1,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.52 : 2,642 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    1,914.52/2,642 = 1,075.20/x
  3. Step 3: Cross multiply
    1,914.52x = 2,642 × 1,075.20
  4. Step 4: Simplify right side
    1,914.52x = 2,840,678.40
  5. Step 5: Solve for x
    x = 2,840,678.40/1,914.52
  6. Step 6: Final answer
    x = 1,483.75

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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.