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Finding the Fourth Proportional to 11,956.81, 16,483.12 and 7,916.87

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Solution

The fourth proportional to 11,956.81, 16,483.12 and 7,916.87 is: 10,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.81 : 16,483.12 = 7,916.87 : x
  2. Step 2: Convert to fraction form
    11,956.81/16,483.12 = 7,916.87/x
  3. Step 3: Cross multiply
    11,956.81x = 16,483.12 × 7,916.87
  4. Step 4: Simplify right side
    11,956.81x = 130,494,707.53
  5. Step 5: Solve for x
    x = 130,494,707.53/11,956.81
  6. Step 6: Final answer
    x = 10,913.84

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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.