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Finding the Fourth Proportional to 27,612.64, 41,420.32 and 7,894.08

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Solution

The fourth proportional to 27,612.64, 41,420.32 and 7,894.08 is: 11,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612.64 : 41,420.32 = 7,894.08 : x
  2. Step 2: Convert to fraction form
    27,612.64/41,420.32 = 7,894.08/x
  3. Step 3: Cross multiply
    27,612.64x = 41,420.32 × 7,894.08
  4. Step 4: Simplify right side
    27,612.64x = 326,975,319.71
  5. Step 5: Solve for x
    x = 326,975,319.71/27,612.64
  6. Step 6: Final answer
    x = 11,841.51

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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.