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Finding the Fourth Proportional to 7,815.76, 10,785.90 and 4,278.90

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Solution

The fourth proportional to 7,815.76, 10,785.90 and 4,278.90 is: 5,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.76 : 10,785.90 = 4,278.90 : x
  2. Step 2: Convert to fraction form
    7,815.76/10,785.90 = 4,278.90/x
  3. Step 3: Cross multiply
    7,815.76x = 10,785.90 × 4,278.90
  4. Step 4: Simplify right side
    7,815.76x = 46,151,787.51
  5. Step 5: Solve for x
    x = 46,151,787.51/7,815.76
  6. Step 6: Final answer
    x = 5,904.96

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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.