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Finding the Fourth Proportional to 4,754.55, 7,128.30 and 1,465.77

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Solution

The fourth proportional to 4,754.55, 7,128.30 and 1,465.77 is: 2,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.55 : 7,128.30 = 1,465.77 : x
  2. Step 2: Convert to fraction form
    4,754.55/7,128.30 = 1,465.77/x
  3. Step 3: Cross multiply
    4,754.55x = 7,128.30 × 1,465.77
  4. Step 4: Simplify right side
    4,754.55x = 10,448,448.29
  5. Step 5: Solve for x
    x = 10,448,448.29/4,754.55
  6. Step 6: Final answer
    x = 2,197.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.