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Finding the Fourth Proportional to 13,146, 19,721.88 and 4,938

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Solution

The fourth proportional to 13,146, 19,721.88 and 4,938 is: 7,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146 : 19,721.88 = 4,938 : x
  2. Step 2: Convert to fraction form
    13,146/19,721.88 = 4,938/x
  3. Step 3: Cross multiply
    13,146x = 19,721.88 × 4,938
  4. Step 4: Simplify right side
    13,146x = 97,386,643.44
  5. Step 5: Solve for x
    x = 97,386,643.44/13,146
  6. Step 6: Final answer
    x = 7,408.08

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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.