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Finding the Fourth Proportional to 4,977.55, 7,458.57 and 1,856.71

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Solution

The fourth proportional to 4,977.55, 7,458.57 and 1,856.71 is: 2,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.55 : 7,458.57 = 1,856.71 : x
  2. Step 2: Convert to fraction form
    4,977.55/7,458.57 = 1,856.71/x
  3. Step 3: Cross multiply
    4,977.55x = 7,458.57 × 1,856.71
  4. Step 4: Simplify right side
    4,977.55x = 13,848,396.86
  5. Step 5: Solve for x
    x = 13,848,396.86/4,977.55
  6. Step 6: Final answer
    x = 2,782.17

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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.