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Finding the Fourth Proportional to 6,509.79, 8,982.50 and 3,856.77

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Solution

The fourth proportional to 6,509.79, 8,982.50 and 3,856.77 is: 5,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.79 : 8,982.50 = 3,856.77 : x
  2. Step 2: Convert to fraction form
    6,509.79/8,982.50 = 3,856.77/x
  3. Step 3: Cross multiply
    6,509.79x = 8,982.50 × 3,856.77
  4. Step 4: Simplify right side
    6,509.79x = 34,643,417.24
  5. Step 5: Solve for x
    x = 34,643,417.24/6,509.79
  6. Step 6: Final answer
    x = 5,321.74

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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.