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Finding the Fourth Proportional to 5,617, 8,425.47 and 1,457

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Solution

The fourth proportional to 5,617, 8,425.47 and 1,457 is: 2,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617 : 8,425.47 = 1,457 : x
  2. Step 2: Convert to fraction form
    5,617/8,425.47 = 1,457/x
  3. Step 3: Cross multiply
    5,617x = 8,425.47 × 1,457
  4. Step 4: Simplify right side
    5,617x = 12,275,909.79
  5. Step 5: Solve for x
    x = 12,275,909.79/5,617
  6. Step 6: Final answer
    x = 2,185.49

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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.