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Finding the Fourth Proportional to 4,871.78, 7,257.84 and 4,636.68

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Solution

The fourth proportional to 4,871.78, 7,257.84 and 4,636.68 is: 6,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.78 : 7,257.84 = 4,636.68 : x
  2. Step 2: Convert to fraction form
    4,871.78/7,257.84 = 4,636.68/x
  3. Step 3: Cross multiply
    4,871.78x = 7,257.84 × 4,636.68
  4. Step 4: Simplify right side
    4,871.78x = 33,652,264.18
  5. Step 5: Solve for x
    x = 33,652,264.18/4,871.78
  6. Step 6: Final answer
    x = 6,907.59

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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.