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Finding the Fourth Proportional to 51,790.84, 77,667.04 and 18,502

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Solution

The fourth proportional to 51,790.84, 77,667.04 and 18,502 is: 27,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,790.84 : 77,667.04 = 18,502 : x
  2. Step 2: Convert to fraction form
    51,790.84/77,667.04 = 18,502/x
  3. Step 3: Cross multiply
    51,790.84x = 77,667.04 × 18,502
  4. Step 4: Simplify right side
    51,790.84x = 1,436,995,574.08
  5. Step 5: Solve for x
    x = 1,436,995,574.08/51,790.84
  6. Step 6: Final answer
    x = 27,746.13

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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.