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Finding the Fourth Proportional to 2,492.79, 3,438.60 and 1,559.67

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Solution

The fourth proportional to 2,492.79, 3,438.60 and 1,559.67 is: 2,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.79 : 3,438.60 = 1,559.67 : x
  2. Step 2: Convert to fraction form
    2,492.79/3,438.60 = 1,559.67/x
  3. Step 3: Cross multiply
    2,492.79x = 3,438.60 × 1,559.67
  4. Step 4: Simplify right side
    2,492.79x = 5,363,081.26
  5. Step 5: Solve for x
    x = 5,363,081.26/2,492.79
  6. Step 6: Final answer
    x = 2,151.44

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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.