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Finding the Fourth Proportional to 7,808.75, 10,774.34 and 4,784.51

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Solution

The fourth proportional to 7,808.75, 10,774.34 and 4,784.51 is: 6,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.75 : 10,774.34 = 4,784.51 : x
  2. Step 2: Convert to fraction form
    7,808.75/10,774.34 = 4,784.51/x
  3. Step 3: Cross multiply
    7,808.75x = 10,774.34 × 4,784.51
  4. Step 4: Simplify right side
    7,808.75x = 51,549,895.56
  5. Step 5: Solve for x
    x = 51,549,895.56/7,808.75
  6. Step 6: Final answer
    x = 6,601.56

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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.