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Finding the Fourth Proportional to 4,661.55, 6,971.67 and 4,145.18

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Solution

The fourth proportional to 4,661.55, 6,971.67 and 4,145.18 is: 6,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.55 : 6,971.67 = 4,145.18 : x
  2. Step 2: Convert to fraction form
    4,661.55/6,971.67 = 4,145.18/x
  3. Step 3: Cross multiply
    4,661.55x = 6,971.67 × 4,145.18
  4. Step 4: Simplify right side
    4,661.55x = 28,898,792.19
  5. Step 5: Solve for x
    x = 28,898,792.19/4,661.55
  6. Step 6: Final answer
    x = 6,199.40

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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.