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Finding the Fourth Proportional to 7,894.90, 11,842.20 and 3,214.87

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Solution

The fourth proportional to 7,894.90, 11,842.20 and 3,214.87 is: 4,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.90 : 11,842.20 = 3,214.87 : x
  2. Step 2: Convert to fraction form
    7,894.90/11,842.20 = 3,214.87/x
  3. Step 3: Cross multiply
    7,894.90x = 11,842.20 × 3,214.87
  4. Step 4: Simplify right side
    7,894.90x = 38,071,133.51
  5. Step 5: Solve for x
    x = 38,071,133.51/7,894.90
  6. Step 6: Final answer
    x = 4,822.24

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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.