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Finding the Fourth Proportional to 9,357.41, 12,913.20 and 5,165.63

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Solution

The fourth proportional to 9,357.41, 12,913.20 and 5,165.63 is: 7,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.41 : 12,913.20 = 5,165.63 : x
  2. Step 2: Convert to fraction form
    9,357.41/12,913.20 = 5,165.63/x
  3. Step 3: Cross multiply
    9,357.41x = 12,913.20 × 5,165.63
  4. Step 4: Simplify right side
    9,357.41x = 66,704,787.49
  5. Step 5: Solve for x
    x = 66,704,787.49/9,357.41
  6. Step 6: Final answer
    x = 7,128.55

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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.