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Finding the Fourth Proportional to 2,124.96, 3,187.44 and 586.08

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Solution

The fourth proportional to 2,124.96, 3,187.44 and 586.08 is: 879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.96 : 3,187.44 = 586.08 : x
  2. Step 2: Convert to fraction form
    2,124.96/3,187.44 = 586.08/x
  3. Step 3: Cross multiply
    2,124.96x = 3,187.44 × 586.08
  4. Step 4: Simplify right side
    2,124.96x = 1,868,094.84
  5. Step 5: Solve for x
    x = 1,868,094.84/2,124.96
  6. Step 6: Final answer
    x = 879.12

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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.