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Finding the Fourth Proportional to 4,884, 6,720.48 and 4,747.92

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Solution

The fourth proportional to 4,884, 6,720.48 and 4,747.92 is: 6,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884 : 6,720.48 = 4,747.92 : x
  2. Step 2: Convert to fraction form
    4,884/6,720.48 = 4,747.92/x
  3. Step 3: Cross multiply
    4,884x = 6,720.48 × 4,747.92
  4. Step 4: Simplify right side
    4,884x = 31,908,301.40
  5. Step 5: Solve for x
    x = 31,908,301.40/4,884
  6. Step 6: Final answer
    x = 6,533.23

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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.