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Finding the Fourth Proportional to 8,057, 11,120.58 and 4,915.82

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Solution

The fourth proportional to 8,057, 11,120.58 and 4,915.82 is: 6,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057 : 11,120.58 = 4,915.82 : x
  2. Step 2: Convert to fraction form
    8,057/11,120.58 = 4,915.82/x
  3. Step 3: Cross multiply
    8,057x = 11,120.58 × 4,915.82
  4. Step 4: Simplify right side
    8,057x = 54,666,769.58
  5. Step 5: Solve for x
    x = 54,666,769.58/8,057
  6. Step 6: Final answer
    x = 6,785.00

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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.