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Finding the Fourth Proportional to 8,420.23, 11,620 and 4,643.53

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Solution

The fourth proportional to 8,420.23, 11,620 and 4,643.53 is: 6,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.23 : 11,620 = 4,643.53 : x
  2. Step 2: Convert to fraction form
    8,420.23/11,620 = 4,643.53/x
  3. Step 3: Cross multiply
    8,420.23x = 11,620 × 4,643.53
  4. Step 4: Simplify right side
    8,420.23x = 53,957,818.60
  5. Step 5: Solve for x
    x = 53,957,818.60/8,420.23
  6. Step 6: Final answer
    x = 6,408.12

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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.