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Finding the Fourth Proportional to 4,657, 6,426.66 and 2,561.32

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Solution

The fourth proportional to 4,657, 6,426.66 and 2,561.32 is: 3,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 6,426.66 = 2,561.32 : x
  2. Step 2: Convert to fraction form
    4,657/6,426.66 = 2,561.32/x
  3. Step 3: Cross multiply
    4,657x = 6,426.66 × 2,561.32
  4. Step 4: Simplify right side
    4,657x = 16,460,732.79
  5. Step 5: Solve for x
    x = 16,460,732.79/4,657
  6. Step 6: Final answer
    x = 3,534.62

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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.