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Finding the Fourth Proportional to 1,672.64, 2,307.64 and 1,009

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Solution

The fourth proportional to 1,672.64, 2,307.64 and 1,009 is: 1,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.64 : 2,307.64 = 1,009 : x
  2. Step 2: Convert to fraction form
    1,672.64/2,307.64 = 1,009/x
  3. Step 3: Cross multiply
    1,672.64x = 2,307.64 × 1,009
  4. Step 4: Simplify right side
    1,672.64x = 2,328,408.76
  5. Step 5: Solve for x
    x = 2,328,408.76/1,672.64
  6. Step 6: Final answer
    x = 1,392.06

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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.