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Finding the Fourth Proportional to 7,289.75, 10,877.75 and 6,504.35

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Solution

The fourth proportional to 7,289.75, 10,877.75 and 6,504.35 is: 9,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.75 : 10,877.75 = 6,504.35 : x
  2. Step 2: Convert to fraction form
    7,289.75/10,877.75 = 6,504.35/x
  3. Step 3: Cross multiply
    7,289.75x = 10,877.75 × 6,504.35
  4. Step 4: Simplify right side
    7,289.75x = 70,752,687.89
  5. Step 5: Solve for x
    x = 70,752,687.89/7,289.75
  6. Step 6: Final answer
    x = 9,705.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.