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Finding the Fourth Proportional to 1,671, 2,307.56 and 1,408.56

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Solution

The fourth proportional to 1,671, 2,307.56 and 1,408.56 is: 1,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671 : 2,307.56 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    1,671/2,307.56 = 1,408.56/x
  3. Step 3: Cross multiply
    1,671x = 2,307.56 × 1,408.56
  4. Step 4: Simplify right side
    1,671x = 3,250,336.71
  5. Step 5: Solve for x
    x = 3,250,336.71/1,671
  6. Step 6: Final answer
    x = 1,945.14

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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.