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Finding the Fourth Proportional to 4,762.88, 7,143.36 and 1,475.18

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Solution

The fourth proportional to 4,762.88, 7,143.36 and 1,475.18 is: 2,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.88 : 7,143.36 = 1,475.18 : x
  2. Step 2: Convert to fraction form
    4,762.88/7,143.36 = 1,475.18/x
  3. Step 3: Cross multiply
    4,762.88x = 7,143.36 × 1,475.18
  4. Step 4: Simplify right side
    4,762.88x = 10,537,741.80
  5. Step 5: Solve for x
    x = 10,537,741.80/4,762.88
  6. Step 6: Final answer
    x = 2,212.47

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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.