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Finding the Fourth Proportional to 1,407.76, 2,107.05 and 1,037.41

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Solution

The fourth proportional to 1,407.76, 2,107.05 and 1,037.41 is: 1,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.76 : 2,107.05 = 1,037.41 : x
  2. Step 2: Convert to fraction form
    1,407.76/2,107.05 = 1,037.41/x
  3. Step 3: Cross multiply
    1,407.76x = 2,107.05 × 1,037.41
  4. Step 4: Simplify right side
    1,407.76x = 2,185,865.58
  5. Step 5: Solve for x
    x = 2,185,865.58/1,407.76
  6. Step 6: Final answer
    x = 1,552.72

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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.