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Finding the Fourth Proportional to 13,731, 18,948.82 and 7,443.40

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Solution

The fourth proportional to 13,731, 18,948.82 and 7,443.40 is: 10,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731 : 18,948.82 = 7,443.40 : x
  2. Step 2: Convert to fraction form
    13,731/18,948.82 = 7,443.40/x
  3. Step 3: Cross multiply
    13,731x = 18,948.82 × 7,443.40
  4. Step 4: Simplify right side
    13,731x = 141,043,646.79
  5. Step 5: Solve for x
    x = 141,043,646.79/13,731
  6. Step 6: Final answer
    x = 10,271.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.