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Finding the Fourth Proportional to 4,857.76, 7,287.54 and 1,938.16

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Solution

The fourth proportional to 4,857.76, 7,287.54 and 1,938.16 is: 2,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.76 : 7,287.54 = 1,938.16 : x
  2. Step 2: Convert to fraction form
    4,857.76/7,287.54 = 1,938.16/x
  3. Step 3: Cross multiply
    4,857.76x = 7,287.54 × 1,938.16
  4. Step 4: Simplify right side
    4,857.76x = 14,124,418.53
  5. Step 5: Solve for x
    x = 14,124,418.53/4,857.76
  6. Step 6: Final answer
    x = 2,907.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.