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Finding the Fourth Proportional to 12,683.61, 17,509.53 and 8,441.74

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Solution

The fourth proportional to 12,683.61, 17,509.53 and 8,441.74 is: 11,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.61 : 17,509.53 = 8,441.74 : x
  2. Step 2: Convert to fraction form
    12,683.61/17,509.53 = 8,441.74/x
  3. Step 3: Cross multiply
    12,683.61x = 17,509.53 × 8,441.74
  4. Step 4: Simplify right side
    12,683.61x = 147,810,899.78
  5. Step 5: Solve for x
    x = 147,810,899.78/12,683.61
  6. Step 6: Final answer
    x = 11,653.69

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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.