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Finding the Fourth Proportional to 4,651.48, 6,400.02 and 4,020

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Solution

The fourth proportional to 4,651.48, 6,400.02 and 4,020 is: 5,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.48 : 6,400.02 = 4,020 : x
  2. Step 2: Convert to fraction form
    4,651.48/6,400.02 = 4,020/x
  3. Step 3: Cross multiply
    4,651.48x = 6,400.02 × 4,020
  4. Step 4: Simplify right side
    4,651.48x = 25,728,080.40
  5. Step 5: Solve for x
    x = 25,728,080.40/4,651.48
  6. Step 6: Final answer
    x = 5,531.16

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Why These Related Problems?

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