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Finding the Fourth Proportional to 3,606.04, 5,409.06 and 870.04

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Solution

The fourth proportional to 3,606.04, 5,409.06 and 870.04 is: 1,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.04 : 5,409.06 = 870.04 : x
  2. Step 2: Convert to fraction form
    3,606.04/5,409.06 = 870.04/x
  3. Step 3: Cross multiply
    3,606.04x = 5,409.06 × 870.04
  4. Step 4: Simplify right side
    3,606.04x = 4,706,098.56
  5. Step 5: Solve for x
    x = 4,706,098.56/3,606.04
  6. Step 6: Final answer
    x = 1,305.06

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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.