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Finding the Fourth Proportional to 5,158.76, 7,738.14 and 1,263.16

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Solution

The fourth proportional to 5,158.76, 7,738.14 and 1,263.16 is: 1,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.76 : 7,738.14 = 1,263.16 : x
  2. Step 2: Convert to fraction form
    5,158.76/7,738.14 = 1,263.16/x
  3. Step 3: Cross multiply
    5,158.76x = 7,738.14 × 1,263.16
  4. Step 4: Simplify right side
    5,158.76x = 9,774,508.92
  5. Step 5: Solve for x
    x = 9,774,508.92/5,158.76
  6. Step 6: Final answer
    x = 1,894.74

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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.