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Finding the Fourth Proportional to 5,263.40, 7,893.74 and 1,564.65

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Solution

The fourth proportional to 5,263.40, 7,893.74 and 1,564.65 is: 2,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.40 : 7,893.74 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    5,263.40/7,893.74 = 1,564.65/x
  3. Step 3: Cross multiply
    5,263.40x = 7,893.74 × 1,564.65
  4. Step 4: Simplify right side
    5,263.40x = 12,350,944.20
  5. Step 5: Solve for x
    x = 12,350,944.20/5,263.40
  6. Step 6: Final answer
    x = 2,346.57

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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.