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Finding the Fourth Proportional to 12,706.61, 17,539.74 and 7,670.84

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Solution

The fourth proportional to 12,706.61, 17,539.74 and 7,670.84 is: 10,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.61 : 17,539.74 = 7,670.84 : x
  2. Step 2: Convert to fraction form
    12,706.61/17,539.74 = 7,670.84/x
  3. Step 3: Cross multiply
    12,706.61x = 17,539.74 × 7,670.84
  4. Step 4: Simplify right side
    12,706.61x = 134,544,451.48
  5. Step 5: Solve for x
    x = 134,544,451.48/12,706.61
  6. Step 6: Final answer
    x = 10,588.54

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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.