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Finding the Fourth Proportional to 1,681.37, 2,519.74 and 857.91

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Solution

The fourth proportional to 1,681.37, 2,519.74 and 857.91 is: 1,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.37 : 2,519.74 = 857.91 : x
  2. Step 2: Convert to fraction form
    1,681.37/2,519.74 = 857.91/x
  3. Step 3: Cross multiply
    1,681.37x = 2,519.74 × 857.91
  4. Step 4: Simplify right side
    1,681.37x = 2,161,693.26
  5. Step 5: Solve for x
    x = 2,161,693.26/1,681.37
  6. Step 6: Final answer
    x = 1,285.68

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1.5x scale

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.