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Finding the Fourth Proportional to 5,623.65, 8,435.47 and 1,728.05

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Solution

The fourth proportional to 5,623.65, 8,435.47 and 1,728.05 is: 2,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.65 : 8,435.47 = 1,728.05 : x
  2. Step 2: Convert to fraction form
    5,623.65/8,435.47 = 1,728.05/x
  3. Step 3: Cross multiply
    5,623.65x = 8,435.47 × 1,728.05
  4. Step 4: Simplify right side
    5,623.65x = 14,576,936.53
  5. Step 5: Solve for x
    x = 14,576,936.53/5,623.65
  6. Step 6: Final answer
    x = 2,592.08

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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.