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Finding the Fourth Proportional to 7,888, 10,886.08 and 4,576

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Solution

The fourth proportional to 7,888, 10,886.08 and 4,576 is: 6,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888 : 10,886.08 = 4,576 : x
  2. Step 2: Convert to fraction form
    7,888/10,886.08 = 4,576/x
  3. Step 3: Cross multiply
    7,888x = 10,886.08 × 4,576
  4. Step 4: Simplify right side
    7,888x = 49,814,702.08
  5. Step 5: Solve for x
    x = 49,814,702.08/7,888
  6. Step 6: Final answer
    x = 6,315.25

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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.