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Finding the Fourth Proportional to 7,813.61, 10,783.04 and 4,276.82

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Solution

The fourth proportional to 7,813.61, 10,783.04 and 4,276.82 is: 5,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.61 : 10,783.04 = 4,276.82 : x
  2. Step 2: Convert to fraction form
    7,813.61/10,783.04 = 4,276.82/x
  3. Step 3: Cross multiply
    7,813.61x = 10,783.04 × 4,276.82
  4. Step 4: Simplify right side
    7,813.61x = 46,117,158.78
  5. Step 5: Solve for x
    x = 46,117,158.78/7,813.61
  6. Step 6: Final answer
    x = 5,902.16

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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.