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Finding the Fourth Proportional to 5,285.94, 7,928.93 and 1,588.21

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Solution

The fourth proportional to 5,285.94, 7,928.93 and 1,588.21 is: 2,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.94 : 7,928.93 = 1,588.21 : x
  2. Step 2: Convert to fraction form
    5,285.94/7,928.93 = 1,588.21/x
  3. Step 3: Cross multiply
    5,285.94x = 7,928.93 × 1,588.21
  4. Step 4: Simplify right side
    5,285.94x = 12,592,805.92
  5. Step 5: Solve for x
    x = 12,592,805.92/5,285.94
  6. Step 6: Final answer
    x = 2,382.32

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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.