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Finding the Fourth Proportional to 3,497.86, 4,829.34 and 3,128.50

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Solution

The fourth proportional to 3,497.86, 4,829.34 and 3,128.50 is: 4,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.86 : 4,829.34 = 3,128.50 : x
  2. Step 2: Convert to fraction form
    3,497.86/4,829.34 = 3,128.50/x
  3. Step 3: Cross multiply
    3,497.86x = 4,829.34 × 3,128.50
  4. Step 4: Simplify right side
    3,497.86x = 15,108,590.19
  5. Step 5: Solve for x
    x = 15,108,590.19/3,497.86
  6. Step 6: Final answer
    x = 4,319.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.