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Finding the Fourth Proportional to 1,672.77, 2,307.69 and 1,009.25

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Solution

The fourth proportional to 1,672.77, 2,307.69 and 1,009.25 is: 1,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.77 : 2,307.69 = 1,009.25 : x
  2. Step 2: Convert to fraction form
    1,672.77/2,307.69 = 1,009.25/x
  3. Step 3: Cross multiply
    1,672.77x = 2,307.69 × 1,009.25
  4. Step 4: Simplify right side
    1,672.77x = 2,329,036.13
  5. Step 5: Solve for x
    x = 2,329,036.13/1,672.77
  6. Step 6: Final answer
    x = 1,392.32

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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.