Home / 1,884.94-2,827.37-498.24

Finding the Fourth Proportional to 1,884.94, 2,827.37 and 498.24

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Solution

The fourth proportional to 1,884.94, 2,827.37 and 498.24 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.94 : 2,827.37 = 498.24 : x
  2. Step 2: Convert to fraction form
    1,884.94/2,827.37 = 498.24/x
  3. Step 3: Cross multiply
    1,884.94x = 2,827.37 × 498.24
  4. Step 4: Simplify right side
    1,884.94x = 1,408,710.07
  5. Step 5: Solve for x
    x = 1,408,710.07/1,884.94
  6. Step 6: Final answer
    x = 747.35

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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.