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Finding the Fourth Proportional to 2,807.64, 4,215.51 and 1,714.14

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Solution

The fourth proportional to 2,807.64, 4,215.51 and 1,714.14 is: 2,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.64 : 4,215.51 = 1,714.14 : x
  2. Step 2: Convert to fraction form
    2,807.64/4,215.51 = 1,714.14/x
  3. Step 3: Cross multiply
    2,807.64x = 4,215.51 × 1,714.14
  4. Step 4: Simplify right side
    2,807.64x = 7,225,974.31
  5. Step 5: Solve for x
    x = 7,225,974.31/2,807.64
  6. Step 6: Final answer
    x = 2,573.68

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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.