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Finding the Fourth Proportional to 9,839.07, 14,768.69 and 7,671.51

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Solution

The fourth proportional to 9,839.07, 14,768.69 and 7,671.51 is: 11,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.07 : 14,768.69 = 7,671.51 : x
  2. Step 2: Convert to fraction form
    9,839.07/14,768.69 = 7,671.51/x
  3. Step 3: Cross multiply
    9,839.07x = 14,768.69 × 7,671.51
  4. Step 4: Simplify right side
    9,839.07x = 113,298,114.66
  5. Step 5: Solve for x
    x = 113,298,114.66/9,839.07
  6. Step 6: Final answer
    x = 11,515.12

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1.5x scale

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.