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Finding the Fourth Proportional to 25,947.84, 38,922.08 and 7,480

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Solution

The fourth proportional to 25,947.84, 38,922.08 and 7,480 is: 11,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947.84 : 38,922.08 = 7,480 : x
  2. Step 2: Convert to fraction form
    25,947.84/38,922.08 = 7,480/x
  3. Step 3: Cross multiply
    25,947.84x = 38,922.08 × 7,480
  4. Step 4: Simplify right side
    25,947.84x = 291,137,158.40
  5. Step 5: Solve for x
    x = 291,137,158.40/25,947.84
  6. Step 6: Final answer
    x = 11,220.09

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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.