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Finding the Fourth Proportional to 8,961, 12,364.16 and 5,423.46

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Solution

The fourth proportional to 8,961, 12,364.16 and 5,423.46 is: 7,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961 : 12,364.16 = 5,423.46 : x
  2. Step 2: Convert to fraction form
    8,961/12,364.16 = 5,423.46/x
  3. Step 3: Cross multiply
    8,961x = 12,364.16 × 5,423.46
  4. Step 4: Simplify right side
    8,961x = 67,056,527.19
  5. Step 5: Solve for x
    x = 67,056,527.19/8,961
  6. Step 6: Final answer
    x = 7,483.15

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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.