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Finding the Fourth Proportional to 12,785.49, 17,648.78 and 9,455.11

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Solution

The fourth proportional to 12,785.49, 17,648.78 and 9,455.11 is: 13,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.49 : 17,648.78 = 9,455.11 : x
  2. Step 2: Convert to fraction form
    12,785.49/17,648.78 = 9,455.11/x
  3. Step 3: Cross multiply
    12,785.49x = 17,648.78 × 9,455.11
  4. Step 4: Simplify right side
    12,785.49x = 166,871,064.87
  5. Step 5: Solve for x
    x = 166,871,064.87/12,785.49
  6. Step 6: Final answer
    x = 13,051.60

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1.5x scale

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.