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Finding the Fourth Proportional to 2,505.60, 3,457.74 and 1,457.70

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Solution

The fourth proportional to 2,505.60, 3,457.74 and 1,457.70 is: 2,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.60 : 3,457.74 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,505.60/3,457.74 = 1,457.70/x
  3. Step 3: Cross multiply
    2,505.60x = 3,457.74 × 1,457.70
  4. Step 4: Simplify right side
    2,505.60x = 5,040,347.60
  5. Step 5: Solve for x
    x = 5,040,347.60/2,505.60
  6. Step 6: Final answer
    x = 2,011.63

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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.