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Finding the Fourth Proportional to 2,505.56, 3,457.68 and 1,386.58

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Solution

The fourth proportional to 2,505.56, 3,457.68 and 1,386.58 is: 1,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.56 : 3,457.68 = 1,386.58 : x
  2. Step 2: Convert to fraction form
    2,505.56/3,457.68 = 1,386.58/x
  3. Step 3: Cross multiply
    2,505.56x = 3,457.68 × 1,386.58
  4. Step 4: Simplify right side
    2,505.56x = 4,794,338.70
  5. Step 5: Solve for x
    x = 4,794,338.70/2,505.56
  6. Step 6: Final answer
    x = 1,913.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.