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Finding the Fourth Proportional to 23,580.80, 35,374.70 and 7,787.50

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Solution

The fourth proportional to 23,580.80, 35,374.70 and 7,787.50 is: 11,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.80 : 35,374.70 = 7,787.50 : x
  2. Step 2: Convert to fraction form
    23,580.80/35,374.70 = 7,787.50/x
  3. Step 3: Cross multiply
    23,580.80x = 35,374.70 × 7,787.50
  4. Step 4: Simplify right side
    23,580.80x = 275,480,476.25
  5. Step 5: Solve for x
    x = 275,480,476.25/23,580.80
  6. Step 6: Final answer
    x = 11,682.41

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1.5x scale

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.