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Finding the Fourth Proportional to 4,784.28, 7,169.94 and 2,477.40

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Solution

The fourth proportional to 4,784.28, 7,169.94 and 2,477.40 is: 3,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.28 : 7,169.94 = 2,477.40 : x
  2. Step 2: Convert to fraction form
    4,784.28/7,169.94 = 2,477.40/x
  3. Step 3: Cross multiply
    4,784.28x = 7,169.94 × 2,477.40
  4. Step 4: Simplify right side
    4,784.28x = 17,762,809.36
  5. Step 5: Solve for x
    x = 17,762,809.36/4,784.28
  6. Step 6: Final answer
    x = 3,712.74

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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.