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Finding the Fourth Proportional to 7,721.34, 10,657 and 4,364.22

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Solution

The fourth proportional to 7,721.34, 10,657 and 4,364.22 is: 6,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.34 : 10,657 = 4,364.22 : x
  2. Step 2: Convert to fraction form
    7,721.34/10,657 = 4,364.22/x
  3. Step 3: Cross multiply
    7,721.34x = 10,657 × 4,364.22
  4. Step 4: Simplify right side
    7,721.34x = 46,509,492.54
  5. Step 5: Solve for x
    x = 46,509,492.54/7,721.34
  6. Step 6: Final answer
    x = 6,023.50

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Similar ratio
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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.