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Finding the Fourth Proportional to 9,671.51, 13,345.67 and 5,692.39

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Solution

The fourth proportional to 9,671.51, 13,345.67 and 5,692.39 is: 7,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.51 : 13,345.67 = 5,692.39 : x
  2. Step 2: Convert to fraction form
    9,671.51/13,345.67 = 5,692.39/x
  3. Step 3: Cross multiply
    9,671.51x = 13,345.67 × 5,692.39
  4. Step 4: Simplify right side
    9,671.51x = 75,968,758.45
  5. Step 5: Solve for x
    x = 75,968,758.45/9,671.51
  6. Step 6: Final answer
    x = 7,854.90

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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.