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Finding the Fourth Proportional to 13,582.20, 18,745.08 and 7,612.74

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Solution

The fourth proportional to 13,582.20, 18,745.08 and 7,612.74 is: 10,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.20 : 18,745.08 = 7,612.74 : x
  2. Step 2: Convert to fraction form
    13,582.20/18,745.08 = 7,612.74/x
  3. Step 3: Cross multiply
    13,582.20x = 18,745.08 × 7,612.74
  4. Step 4: Simplify right side
    13,582.20x = 142,701,420.32
  5. Step 5: Solve for x
    x = 142,701,420.32/13,582.20
  6. Step 6: Final answer
    x = 10,506.50

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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.