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Finding the Fourth Proportional to 5,415.60, 8,123.52 and 1,520

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Solution

The fourth proportional to 5,415.60, 8,123.52 and 1,520 is: 2,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.60 : 8,123.52 = 1,520 : x
  2. Step 2: Convert to fraction form
    5,415.60/8,123.52 = 1,520/x
  3. Step 3: Cross multiply
    5,415.60x = 8,123.52 × 1,520
  4. Step 4: Simplify right side
    5,415.60x = 12,347,750.40
  5. Step 5: Solve for x
    x = 12,347,750.40/5,415.60
  6. Step 6: Final answer
    x = 2,280.03

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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.