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Finding the Fourth Proportional to 6,762.78, 9,332.58 and 4,109.70

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Solution

The fourth proportional to 6,762.78, 9,332.58 and 4,109.70 is: 5,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.78 : 9,332.58 = 4,109.70 : x
  2. Step 2: Convert to fraction form
    6,762.78/9,332.58 = 4,109.70/x
  3. Step 3: Cross multiply
    6,762.78x = 9,332.58 × 4,109.70
  4. Step 4: Simplify right side
    6,762.78x = 38,354,104.03
  5. Step 5: Solve for x
    x = 38,354,104.03/6,762.78
  6. Step 6: Final answer
    x = 5,671.35

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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.