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Finding the Fourth Proportional to 1,754.64, 2,421.40 and 968.72

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Solution

The fourth proportional to 1,754.64, 2,421.40 and 968.72 is: 1,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.64 : 2,421.40 = 968.72 : x
  2. Step 2: Convert to fraction form
    1,754.64/2,421.40 = 968.72/x
  3. Step 3: Cross multiply
    1,754.64x = 2,421.40 × 968.72
  4. Step 4: Simplify right side
    1,754.64x = 2,345,658.61
  5. Step 5: Solve for x
    x = 2,345,658.61/1,754.64
  6. Step 6: Final answer
    x = 1,336.83

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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.