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Finding the Fourth Proportional to 11,487, 15,853.98 and 8,687.64

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Solution

The fourth proportional to 11,487, 15,853.98 and 8,687.64 is: 11,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487 : 15,853.98 = 8,687.64 : x
  2. Step 2: Convert to fraction form
    11,487/15,853.98 = 8,687.64/x
  3. Step 3: Cross multiply
    11,487x = 15,853.98 × 8,687.64
  4. Step 4: Simplify right side
    11,487x = 137,733,670.81
  5. Step 5: Solve for x
    x = 137,733,670.81/11,487
  6. Step 6: Final answer
    x = 11,990.40

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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.