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Finding the Fourth Proportional to 4,655, 6,423.90 and 2,559.26

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Solution

The fourth proportional to 4,655, 6,423.90 and 2,559.26 is: 3,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655 : 6,423.90 = 2,559.26 : x
  2. Step 2: Convert to fraction form
    4,655/6,423.90 = 2,559.26/x
  3. Step 3: Cross multiply
    4,655x = 6,423.90 × 2,559.26
  4. Step 4: Simplify right side
    4,655x = 16,440,430.31
  5. Step 5: Solve for x
    x = 16,440,430.31/4,655
  6. Step 6: Final answer
    x = 3,531.78

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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.