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Finding the Fourth Proportional to 1,408.90, 2,113.71 and 824.39

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Solution

The fourth proportional to 1,408.90, 2,113.71 and 824.39 is: 1,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.90 : 2,113.71 = 824.39 : x
  2. Step 2: Convert to fraction form
    1,408.90/2,113.71 = 824.39/x
  3. Step 3: Cross multiply
    1,408.90x = 2,113.71 × 824.39
  4. Step 4: Simplify right side
    1,408.90x = 1,742,531.10
  5. Step 5: Solve for x
    x = 1,742,531.10/1,408.90
  6. Step 6: Final answer
    x = 1,236.80

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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.