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Finding the Fourth Proportional to 9,246, 13,867.98 and 2,320.50

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Solution

The fourth proportional to 9,246, 13,867.98 and 2,320.50 is: 3,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 13,867.98 = 2,320.50 : x
  2. Step 2: Convert to fraction form
    9,246/13,867.98 = 2,320.50/x
  3. Step 3: Cross multiply
    9,246x = 13,867.98 × 2,320.50
  4. Step 4: Simplify right side
    9,246x = 32,180,647.59
  5. Step 5: Solve for x
    x = 32,180,647.59/9,246
  6. Step 6: Final answer
    x = 3,480.49

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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.