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Finding the Fourth Proportional to 4,783, 7,140.84 and 4,089.92

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Solution

The fourth proportional to 4,783, 7,140.84 and 4,089.92 is: 6,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783 : 7,140.84 = 4,089.92 : x
  2. Step 2: Convert to fraction form
    4,783/7,140.84 = 4,089.92/x
  3. Step 3: Cross multiply
    4,783x = 7,140.84 × 4,089.92
  4. Step 4: Simplify right side
    4,783x = 29,205,464.33
  5. Step 5: Solve for x
    x = 29,205,464.33/4,783
  6. Step 6: Final answer
    x = 6,106.10

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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.