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Finding the Fourth Proportional to 3,795.84, 5,693.76 and 3,461.76

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Solution

The fourth proportional to 3,795.84, 5,693.76 and 3,461.76 is: 5,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.84 : 5,693.76 = 3,461.76 : x
  2. Step 2: Convert to fraction form
    3,795.84/5,693.76 = 3,461.76/x
  3. Step 3: Cross multiply
    3,795.84x = 5,693.76 × 3,461.76
  4. Step 4: Simplify right side
    3,795.84x = 19,710,430.62
  5. Step 5: Solve for x
    x = 19,710,430.62/3,795.84
  6. Step 6: Final answer
    x = 5,192.64

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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.