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Finding the Fourth Proportional to 12,750.36, 19,120.14 and 4,953.84

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Solution

The fourth proportional to 12,750.36, 19,120.14 and 4,953.84 is: 7,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.36 : 19,120.14 = 4,953.84 : x
  2. Step 2: Convert to fraction form
    12,750.36/19,120.14 = 4,953.84/x
  3. Step 3: Cross multiply
    12,750.36x = 19,120.14 × 4,953.84
  4. Step 4: Simplify right side
    12,750.36x = 94,718,114.34
  5. Step 5: Solve for x
    x = 94,718,114.34/12,750.36
  6. Step 6: Final answer
    x = 7,428.66

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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.