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Finding the Fourth Proportional to 8,638.37, 12,890.16 and 7,707.53

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Solution

The fourth proportional to 8,638.37, 12,890.16 and 7,707.53 is: 11,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.37 : 12,890.16 = 7,707.53 : x
  2. Step 2: Convert to fraction form
    8,638.37/12,890.16 = 7,707.53/x
  3. Step 3: Cross multiply
    8,638.37x = 12,890.16 × 7,707.53
  4. Step 4: Simplify right side
    8,638.37x = 99,351,201.55
  5. Step 5: Solve for x
    x = 99,351,201.55/8,638.37
  6. Step 6: Final answer
    x = 11,501.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.