Home / 1,522.75-2,101.41-824.14

Finding the Fourth Proportional to 1,522.75, 2,101.41 and 824.14

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Solution

The fourth proportional to 1,522.75, 2,101.41 and 824.14 is: 1,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.75 : 2,101.41 = 824.14 : x
  2. Step 2: Convert to fraction form
    1,522.75/2,101.41 = 824.14/x
  3. Step 3: Cross multiply
    1,522.75x = 2,101.41 × 824.14
  4. Step 4: Simplify right side
    1,522.75x = 1,731,856.04
  5. Step 5: Solve for x
    x = 1,731,856.04/1,522.75
  6. Step 6: Final answer
    x = 1,137.32

Related Problems

Find fourth proportional to 761.38, 1,050.71 and 412.07
Half scale
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Double scale
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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.