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Finding the Fourth Proportional to 7,807.84, 11,703.60 and 3,421.60

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Solution

The fourth proportional to 7,807.84, 11,703.60 and 3,421.60 is: 5,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.84 : 11,703.60 = 3,421.60 : x
  2. Step 2: Convert to fraction form
    7,807.84/11,703.60 = 3,421.60/x
  3. Step 3: Cross multiply
    7,807.84x = 11,703.60 × 3,421.60
  4. Step 4: Simplify right side
    7,807.84x = 40,045,037.76
  5. Step 5: Solve for x
    x = 40,045,037.76/7,807.84
  6. Step 6: Final answer
    x = 5,128.82

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1.5x scale

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.