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Finding the Fourth Proportional to 7,768.89, 10,721.13 and 4,411.77

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Solution

The fourth proportional to 7,768.89, 10,721.13 and 4,411.77 is: 6,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.89 : 10,721.13 = 4,411.77 : x
  2. Step 2: Convert to fraction form
    7,768.89/10,721.13 = 4,411.77/x
  3. Step 3: Cross multiply
    7,768.89x = 10,721.13 × 4,411.77
  4. Step 4: Simplify right side
    7,768.89x = 47,299,132.90
  5. Step 5: Solve for x
    x = 47,299,132.90/7,768.89
  6. Step 6: Final answer
    x = 6,088.28

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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.