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Finding the Fourth Proportional to 11,627.84, 16,048 and 7,151.76

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Solution

The fourth proportional to 11,627.84, 16,048 and 7,151.76 is: 9,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.84 : 16,048 = 7,151.76 : x
  2. Step 2: Convert to fraction form
    11,627.84/16,048 = 7,151.76/x
  3. Step 3: Cross multiply
    11,627.84x = 16,048 × 7,151.76
  4. Step 4: Simplify right side
    11,627.84x = 114,771,444.48
  5. Step 5: Solve for x
    x = 114,771,444.48/11,627.84
  6. Step 6: Final answer
    x = 9,870.40

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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.