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Finding the Fourth Proportional to 12,798.40, 17,661.52 and 7,133.66

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Solution

The fourth proportional to 12,798.40, 17,661.52 and 7,133.66 is: 9,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.40 : 17,661.52 = 7,133.66 : x
  2. Step 2: Convert to fraction form
    12,798.40/17,661.52 = 7,133.66/x
  3. Step 3: Cross multiply
    12,798.40x = 17,661.52 × 7,133.66
  4. Step 4: Simplify right side
    12,798.40x = 125,991,278.76
  5. Step 5: Solve for x
    x = 125,991,278.76/12,798.40
  6. Step 6: Final answer
    x = 9,844.30

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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.