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Finding the Fourth Proportional to 7,813.64, 10,783.02 and 4,671.64

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Solution

The fourth proportional to 7,813.64, 10,783.02 and 4,671.64 is: 6,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.64 : 10,783.02 = 4,671.64 : x
  2. Step 2: Convert to fraction form
    7,813.64/10,783.02 = 4,671.64/x
  3. Step 3: Cross multiply
    7,813.64x = 10,783.02 × 4,671.64
  4. Step 4: Simplify right side
    7,813.64x = 50,374,387.55
  5. Step 5: Solve for x
    x = 50,374,387.55/7,813.64
  6. Step 6: Final answer
    x = 6,446.98

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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.