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Finding the Fourth Proportional to 11,347.84, 15,661.44 and 7,041.76

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Solution

The fourth proportional to 11,347.84, 15,661.44 and 7,041.76 is: 9,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.84 : 15,661.44 = 7,041.76 : x
  2. Step 2: Convert to fraction form
    11,347.84/15,661.44 = 7,041.76/x
  3. Step 3: Cross multiply
    11,347.84x = 15,661.44 × 7,041.76
  4. Step 4: Simplify right side
    11,347.84x = 110,284,101.73
  5. Step 5: Solve for x
    x = 110,284,101.73/11,347.84
  6. Step 6: Final answer
    x = 9,718.51

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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.