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Finding the Fourth Proportional to 5,188.60, 7,782.90 and 1,293

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Solution

The fourth proportional to 5,188.60, 7,782.90 and 1,293 is: 1,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.60 : 7,782.90 = 1,293 : x
  2. Step 2: Convert to fraction form
    5,188.60/7,782.90 = 1,293/x
  3. Step 3: Cross multiply
    5,188.60x = 7,782.90 × 1,293
  4. Step 4: Simplify right side
    5,188.60x = 10,063,289.70
  5. Step 5: Solve for x
    x = 10,063,289.70/5,188.60
  6. Step 6: Final answer
    x = 1,939.50

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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.