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Finding the Fourth Proportional to 3,842.84, 5,762.85 and 1,376.99

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Solution

The fourth proportional to 3,842.84, 5,762.85 and 1,376.99 is: 2,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.84 : 5,762.85 = 1,376.99 : x
  2. Step 2: Convert to fraction form
    3,842.84/5,762.85 = 1,376.99/x
  3. Step 3: Cross multiply
    3,842.84x = 5,762.85 × 1,376.99
  4. Step 4: Simplify right side
    3,842.84x = 7,935,386.82
  5. Step 5: Solve for x
    x = 7,935,386.82/3,842.84
  6. Step 6: Final answer
    x = 2,064.98

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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.