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Finding the Fourth Proportional to 2,457.72, 3,686.58 and 1,431

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Solution

The fourth proportional to 2,457.72, 3,686.58 and 1,431 is: 2,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.72 : 3,686.58 = 1,431 : x
  2. Step 2: Convert to fraction form
    2,457.72/3,686.58 = 1,431/x
  3. Step 3: Cross multiply
    2,457.72x = 3,686.58 × 1,431
  4. Step 4: Simplify right side
    2,457.72x = 5,275,495.98
  5. Step 5: Solve for x
    x = 5,275,495.98/2,457.72
  6. Step 6: Final answer
    x = 2,146.50

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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.