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Finding the Fourth Proportional to 8,947.00, 12,358.47 and 6,809.54

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Solution

The fourth proportional to 8,947.00, 12,358.47 and 6,809.54 is: 9,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.00 : 12,358.47 = 6,809.54 : x
  2. Step 2: Convert to fraction form
    8,947.00/12,358.47 = 6,809.54/x
  3. Step 3: Cross multiply
    8,947.00x = 12,358.47 × 6,809.54
  4. Step 4: Simplify right side
    8,947.00x = 84,155,552.24
  5. Step 5: Solve for x
    x = 84,155,552.24/8,947.00
  6. Step 6: Final answer
    x = 9,406.01

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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.