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Finding the Fourth Proportional to 4,782.47, 7,125.64 and 4,513.90

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Solution

The fourth proportional to 4,782.47, 7,125.64 and 4,513.90 is: 6,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.47 : 7,125.64 = 4,513.90 : x
  2. Step 2: Convert to fraction form
    4,782.47/7,125.64 = 4,513.90/x
  3. Step 3: Cross multiply
    4,782.47x = 7,125.64 × 4,513.90
  4. Step 4: Simplify right side
    4,782.47x = 32,164,397.30
  5. Step 5: Solve for x
    x = 32,164,397.30/4,782.47
  6. Step 6: Final answer
    x = 6,725.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.