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Finding the Fourth Proportional to 2,949.64, 4,070.16 and 1,754.68

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Solution

The fourth proportional to 2,949.64, 4,070.16 and 1,754.68 is: 2,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.64 : 4,070.16 = 1,754.68 : x
  2. Step 2: Convert to fraction form
    2,949.64/4,070.16 = 1,754.68/x
  3. Step 3: Cross multiply
    2,949.64x = 4,070.16 × 1,754.68
  4. Step 4: Simplify right side
    2,949.64x = 7,141,828.35
  5. Step 5: Solve for x
    x = 7,141,828.35/2,949.64
  6. Step 6: Final answer
    x = 2,421.25

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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.