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Finding the Fourth Proportional to 8,439.78, 12,583.66 and 7,737.21

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Solution

The fourth proportional to 8,439.78, 12,583.66 and 7,737.21 is: 11,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.78 : 12,583.66 = 7,737.21 : x
  2. Step 2: Convert to fraction form
    8,439.78/12,583.66 = 7,737.21/x
  3. Step 3: Cross multiply
    8,439.78x = 12,583.66 × 7,737.21
  4. Step 4: Simplify right side
    8,439.78x = 97,362,419.99
  5. Step 5: Solve for x
    x = 97,362,419.99/8,439.78
  6. Step 6: Final answer
    x = 11,536.13

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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.