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Finding the Fourth Proportional to 5,236.50, 7,854.75 and 1,588.50

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Solution

The fourth proportional to 5,236.50, 7,854.75 and 1,588.50 is: 2,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.50 : 7,854.75 = 1,588.50 : x
  2. Step 2: Convert to fraction form
    5,236.50/7,854.75 = 1,588.50/x
  3. Step 3: Cross multiply
    5,236.50x = 7,854.75 × 1,588.50
  4. Step 4: Simplify right side
    5,236.50x = 12,477,270.38
  5. Step 5: Solve for x
    x = 12,477,270.38/5,236.50
  6. Step 6: Final answer
    x = 2,382.75

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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.