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Finding the Fourth Proportional to 6,984.36, 10,477.80 and 3,088.80

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Solution

The fourth proportional to 6,984.36, 10,477.80 and 3,088.80 is: 4,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.36 : 10,477.80 = 3,088.80 : x
  2. Step 2: Convert to fraction form
    6,984.36/10,477.80 = 3,088.80/x
  3. Step 3: Cross multiply
    6,984.36x = 10,477.80 × 3,088.80
  4. Step 4: Simplify right side
    6,984.36x = 32,363,828.64
  5. Step 5: Solve for x
    x = 32,363,828.64/6,984.36
  6. Step 6: Final answer
    x = 4,633.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.