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Finding the Fourth Proportional to 9,942.40, 14,913.60 and 9,213.40

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Solution

The fourth proportional to 9,942.40, 14,913.60 and 9,213.40 is: 13,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.40 : 14,913.60 = 9,213.40 : x
  2. Step 2: Convert to fraction form
    9,942.40/14,913.60 = 9,213.40/x
  3. Step 3: Cross multiply
    9,942.40x = 14,913.60 × 9,213.40
  4. Step 4: Simplify right side
    9,942.40x = 137,404,962.24
  5. Step 5: Solve for x
    x = 137,404,962.24/9,942.40
  6. Step 6: Final answer
    x = 13,820.10

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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.