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Finding the Fourth Proportional to 3,886.84, 5,828.91 and 1,289.08

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Solution

The fourth proportional to 3,886.84, 5,828.91 and 1,289.08 is: 1,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.84 : 5,828.91 = 1,289.08 : x
  2. Step 2: Convert to fraction form
    3,886.84/5,828.91 = 1,289.08/x
  3. Step 3: Cross multiply
    3,886.84x = 5,828.91 × 1,289.08
  4. Step 4: Simplify right side
    3,886.84x = 7,513,931.30
  5. Step 5: Solve for x
    x = 7,513,931.30/3,886.84
  6. Step 6: Final answer
    x = 1,933.17

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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.