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Finding the Fourth Proportional to 9,133.92, 12,601.20 and 5,820

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Solution

The fourth proportional to 9,133.92, 12,601.20 and 5,820 is: 8,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.92 : 12,601.20 = 5,820 : x
  2. Step 2: Convert to fraction form
    9,133.92/12,601.20 = 5,820/x
  3. Step 3: Cross multiply
    9,133.92x = 12,601.20 × 5,820
  4. Step 4: Simplify right side
    9,133.92x = 73,338,984
  5. Step 5: Solve for x
    x = 73,338,984/9,133.92
  6. Step 6: Final answer
    x = 8,029.30

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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.