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Finding the Fourth Proportional to 8,931.42, 13,369.05 and 8,054.46

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Solution

The fourth proportional to 8,931.42, 13,369.05 and 8,054.46 is: 12,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.42 : 13,369.05 = 8,054.46 : x
  2. Step 2: Convert to fraction form
    8,931.42/13,369.05 = 8,054.46/x
  3. Step 3: Cross multiply
    8,931.42x = 13,369.05 × 8,054.46
  4. Step 4: Simplify right side
    8,931.42x = 107,680,478.46
  5. Step 5: Solve for x
    x = 107,680,478.46/8,931.42
  6. Step 6: Final answer
    x = 12,056.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.