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Finding the Fourth Proportional to 9,858.40, 14,785.44 and 2,838.40

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Solution

The fourth proportional to 9,858.40, 14,785.44 and 2,838.40 is: 4,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.40 : 14,785.44 = 2,838.40 : x
  2. Step 2: Convert to fraction form
    9,858.40/14,785.44 = 2,838.40/x
  3. Step 3: Cross multiply
    9,858.40x = 14,785.44 × 2,838.40
  4. Step 4: Simplify right side
    9,858.40x = 41,966,992.90
  5. Step 5: Solve for x
    x = 41,966,992.90/9,858.40
  6. Step 6: Final answer
    x = 4,256.98

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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.