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Finding the Fourth Proportional to 12,752, 19,128.72 and 4,544

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Solution

The fourth proportional to 12,752, 19,128.72 and 4,544 is: 6,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752 : 19,128.72 = 4,544 : x
  2. Step 2: Convert to fraction form
    12,752/19,128.72 = 4,544/x
  3. Step 3: Cross multiply
    12,752x = 19,128.72 × 4,544
  4. Step 4: Simplify right side
    12,752x = 86,920,903.68
  5. Step 5: Solve for x
    x = 86,920,903.68/12,752
  6. Step 6: Final answer
    x = 6,816.26

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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.