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Finding the Fourth Proportional to 5,188.86, 7,782.98 and 1,678.79

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Solution

The fourth proportional to 5,188.86, 7,782.98 and 1,678.79 is: 2,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.86 : 7,782.98 = 1,678.79 : x
  2. Step 2: Convert to fraction form
    5,188.86/7,782.98 = 1,678.79/x
  3. Step 3: Cross multiply
    5,188.86x = 7,782.98 × 1,678.79
  4. Step 4: Simplify right side
    5,188.86x = 13,066,000.06
  5. Step 5: Solve for x
    x = 13,066,000.06/5,188.86
  6. Step 6: Final answer
    x = 2,518.09

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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.