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Finding the Fourth Proportional to 12,751.84, 19,128.93 and 4,961.26

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Solution

The fourth proportional to 12,751.84, 19,128.93 and 4,961.26 is: 7,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.84 : 19,128.93 = 4,961.26 : x
  2. Step 2: Convert to fraction form
    12,751.84/19,128.93 = 4,961.26/x
  3. Step 3: Cross multiply
    12,751.84x = 19,128.93 × 4,961.26
  4. Step 4: Simplify right side
    12,751.84x = 94,903,595.25
  5. Step 5: Solve for x
    x = 94,903,595.25/12,751.84
  6. Step 6: Final answer
    x = 7,442.35

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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.