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Finding the Fourth Proportional to 6,785.86, 9,364.51 and 4,428

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Solution

The fourth proportional to 6,785.86, 9,364.51 and 4,428 is: 6,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.86 : 9,364.51 = 4,428 : x
  2. Step 2: Convert to fraction form
    6,785.86/9,364.51 = 4,428/x
  3. Step 3: Cross multiply
    6,785.86x = 9,364.51 × 4,428
  4. Step 4: Simplify right side
    6,785.86x = 41,466,055.82
  5. Step 5: Solve for x
    x = 41,466,055.82/6,785.86
  6. Step 6: Final answer
    x = 6,110.66

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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.