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Finding the Fourth Proportional to 4,894.57, 7,338.45 and 1,561.72

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Solution

The fourth proportional to 4,894.57, 7,338.45 and 1,561.72 is: 2,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.57 : 7,338.45 = 1,561.72 : x
  2. Step 2: Convert to fraction form
    4,894.57/7,338.45 = 1,561.72/x
  3. Step 3: Cross multiply
    4,894.57x = 7,338.45 × 1,561.72
  4. Step 4: Simplify right side
    4,894.57x = 11,460,604.13
  5. Step 5: Solve for x
    x = 11,460,604.13/4,894.57
  6. Step 6: Final answer
    x = 2,341.49

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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.