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Finding the Fourth Proportional to 12,705.94, 17,534.20 and 7,737.94

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Solution

The fourth proportional to 12,705.94, 17,534.20 and 7,737.94 is: 10,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.94 : 17,534.20 = 7,737.94 : x
  2. Step 2: Convert to fraction form
    12,705.94/17,534.20 = 7,737.94/x
  3. Step 3: Cross multiply
    12,705.94x = 17,534.20 × 7,737.94
  4. Step 4: Simplify right side
    12,705.94x = 135,678,505.02
  5. Step 5: Solve for x
    x = 135,678,505.02/12,705.94
  6. Step 6: Final answer
    x = 10,678.35

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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.