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Finding the Fourth Proportional to 7,144.46, 9,862.77 and 4,758.40

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Solution

The fourth proportional to 7,144.46, 9,862.77 and 4,758.40 is: 6,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.46 : 9,862.77 = 4,758.40 : x
  2. Step 2: Convert to fraction form
    7,144.46/9,862.77 = 4,758.40/x
  3. Step 3: Cross multiply
    7,144.46x = 9,862.77 × 4,758.40
  4. Step 4: Simplify right side
    7,144.46x = 46,931,004.77
  5. Step 5: Solve for x
    x = 46,931,004.77/7,144.46
  6. Step 6: Final answer
    x = 6,568.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.