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Finding the Fourth Proportional to 4,651, 6,411.54 and 2,972.20

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Solution

The fourth proportional to 4,651, 6,411.54 and 2,972.20 is: 4,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651 : 6,411.54 = 2,972.20 : x
  2. Step 2: Convert to fraction form
    4,651/6,411.54 = 2,972.20/x
  3. Step 3: Cross multiply
    4,651x = 6,411.54 × 2,972.20
  4. Step 4: Simplify right side
    4,651x = 19,056,379.19
  5. Step 5: Solve for x
    x = 19,056,379.19/4,651
  6. Step 6: Final answer
    x = 4,097.26

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1.5x scale

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.