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Finding the Fourth Proportional to 4,643.55, 6,990.66 and 4,235.31

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Solution

The fourth proportional to 4,643.55, 6,990.66 and 4,235.31 is: 6,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.55 : 6,990.66 = 4,235.31 : x
  2. Step 2: Convert to fraction form
    4,643.55/6,990.66 = 4,235.31/x
  3. Step 3: Cross multiply
    4,643.55x = 6,990.66 × 4,235.31
  4. Step 4: Simplify right side
    4,643.55x = 29,607,612.20
  5. Step 5: Solve for x
    x = 29,607,612.20/4,643.55
  6. Step 6: Final answer
    x = 6,376.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.