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Finding the Fourth Proportional to 7,815.68, 10,785.42 and 4,458.42

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Solution

The fourth proportional to 7,815.68, 10,785.42 and 4,458.42 is: 6,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.68 : 10,785.42 = 4,458.42 : x
  2. Step 2: Convert to fraction form
    7,815.68/10,785.42 = 4,458.42/x
  3. Step 3: Cross multiply
    7,815.68x = 10,785.42 × 4,458.42
  4. Step 4: Simplify right side
    7,815.68x = 48,085,947.40
  5. Step 5: Solve for x
    x = 48,085,947.40/7,815.68
  6. Step 6: Final answer
    x = 6,152.50

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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.