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Finding the Fourth Proportional to 1,572.60, 2,346.60 and 1,561.80

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Solution

The fourth proportional to 1,572.60, 2,346.60 and 1,561.80 is: 2,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.60 : 2,346.60 = 1,561.80 : x
  2. Step 2: Convert to fraction form
    1,572.60/2,346.60 = 1,561.80/x
  3. Step 3: Cross multiply
    1,572.60x = 2,346.60 × 1,561.80
  4. Step 4: Simplify right side
    1,572.60x = 3,664,919.88
  5. Step 5: Solve for x
    x = 3,664,919.88/1,572.60
  6. Step 6: Final answer
    x = 2,330.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.