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Finding the Fourth Proportional to 6,859.46, 10,289.19 and 1,929.60

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Solution

The fourth proportional to 6,859.46, 10,289.19 and 1,929.60 is: 2,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.46 : 10,289.19 = 1,929.60 : x
  2. Step 2: Convert to fraction form
    6,859.46/10,289.19 = 1,929.60/x
  3. Step 3: Cross multiply
    6,859.46x = 10,289.19 × 1,929.60
  4. Step 4: Simplify right side
    6,859.46x = 19,854,021.02
  5. Step 5: Solve for x
    x = 19,854,021.02/6,859.46
  6. Step 6: Final answer
    x = 2,894.40

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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.