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Finding the Fourth Proportional to 8,752, 13,133.76 and 4,135.36

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Solution

The fourth proportional to 8,752, 13,133.76 and 4,135.36 is: 6,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752 : 13,133.76 = 4,135.36 : x
  2. Step 2: Convert to fraction form
    8,752/13,133.76 = 4,135.36/x
  3. Step 3: Cross multiply
    8,752x = 13,133.76 × 4,135.36
  4. Step 4: Simplify right side
    8,752x = 54,312,825.75
  5. Step 5: Solve for x
    x = 54,312,825.75/8,752
  6. Step 6: Final answer
    x = 6,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.