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Finding the Fourth Proportional to 12,692, 19,038.24 and 4,484

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Solution

The fourth proportional to 12,692, 19,038.24 and 4,484 is: 6,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692 : 19,038.24 = 4,484 : x
  2. Step 2: Convert to fraction form
    12,692/19,038.24 = 4,484/x
  3. Step 3: Cross multiply
    12,692x = 19,038.24 × 4,484
  4. Step 4: Simplify right side
    12,692x = 85,367,468.16
  5. Step 5: Solve for x
    x = 85,367,468.16/12,692
  6. Step 6: Final answer
    x = 6,726.08

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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.