Home / 2,144.84-3,214.10-975.20

Finding the Fourth Proportional to 2,144.84, 3,214.10 and 975.20

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Solution

The fourth proportional to 2,144.84, 3,214.10 and 975.20 is: 1,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.84 : 3,214.10 = 975.20 : x
  2. Step 2: Convert to fraction form
    2,144.84/3,214.10 = 975.20/x
  3. Step 3: Cross multiply
    2,144.84x = 3,214.10 × 975.20
  4. Step 4: Simplify right side
    2,144.84x = 3,134,390.32
  5. Step 5: Solve for x
    x = 3,134,390.32/2,144.84
  6. Step 6: Final answer
    x = 1,461.36

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1.5x scale

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.