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Finding the Fourth Proportional to 11,563.84, 15,951.84 and 7,089.76

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Solution

The fourth proportional to 11,563.84, 15,951.84 and 7,089.76 is: 9,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.84 : 15,951.84 = 7,089.76 : x
  2. Step 2: Convert to fraction form
    11,563.84/15,951.84 = 7,089.76/x
  3. Step 3: Cross multiply
    11,563.84x = 15,951.84 × 7,089.76
  4. Step 4: Simplify right side
    11,563.84x = 113,094,717.16
  5. Step 5: Solve for x
    x = 113,094,717.16/11,563.84
  6. Step 6: Final answer
    x = 9,780.03

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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.