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Finding the Fourth Proportional to 6,749.76, 9,307.61 and 5,808.75

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Solution

The fourth proportional to 6,749.76, 9,307.61 and 5,808.75 is: 8,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.76 : 9,307.61 = 5,808.75 : x
  2. Step 2: Convert to fraction form
    6,749.76/9,307.61 = 5,808.75/x
  3. Step 3: Cross multiply
    6,749.76x = 9,307.61 × 5,808.75
  4. Step 4: Simplify right side
    6,749.76x = 54,065,537.42
  5. Step 5: Solve for x
    x = 54,065,537.42/6,749.76
  6. Step 6: Final answer
    x = 8,009.99

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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.