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Finding the Fourth Proportional to 2,505, 3,457.10 and 1,457.28

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Solution

The fourth proportional to 2,505, 3,457.10 and 1,457.28 is: 2,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505 : 3,457.10 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    2,505/3,457.10 = 1,457.28/x
  3. Step 3: Cross multiply
    2,505x = 3,457.10 × 1,457.28
  4. Step 4: Simplify right side
    2,505x = 5,037,962.69
  5. Step 5: Solve for x
    x = 5,037,962.69/2,505
  6. Step 6: Final answer
    x = 2,011.16

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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.