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Finding the Fourth Proportional to 4,749.63, 7,122.48 and 1,417.15

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Solution

The fourth proportional to 4,749.63, 7,122.48 and 1,417.15 is: 2,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.63 : 7,122.48 = 1,417.15 : x
  2. Step 2: Convert to fraction form
    4,749.63/7,122.48 = 1,417.15/x
  3. Step 3: Cross multiply
    4,749.63x = 7,122.48 × 1,417.15
  4. Step 4: Simplify right side
    4,749.63x = 10,093,622.53
  5. Step 5: Solve for x
    x = 10,093,622.53/4,749.63
  6. Step 6: Final answer
    x = 2,125.14

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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.