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Finding the Fourth Proportional to 5,678.42, 8,518.43 and 1,783.13

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Solution

The fourth proportional to 5,678.42, 8,518.43 and 1,783.13 is: 2,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.42 : 8,518.43 = 1,783.13 : x
  2. Step 2: Convert to fraction form
    5,678.42/8,518.43 = 1,783.13/x
  3. Step 3: Cross multiply
    5,678.42x = 8,518.43 × 1,783.13
  4. Step 4: Simplify right side
    5,678.42x = 15,189,429.95
  5. Step 5: Solve for x
    x = 15,189,429.95/5,678.42
  6. Step 6: Final answer
    x = 2,674.94

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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.