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Finding the Fourth Proportional to 9,357.40, 14,038.40 and 3,117.40

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Solution

The fourth proportional to 9,357.40, 14,038.40 and 3,117.40 is: 4,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.40 : 14,038.40 = 3,117.40 : x
  2. Step 2: Convert to fraction form
    9,357.40/14,038.40 = 3,117.40/x
  3. Step 3: Cross multiply
    9,357.40x = 14,038.40 × 3,117.40
  4. Step 4: Simplify right side
    9,357.40x = 43,763,308.16
  5. Step 5: Solve for x
    x = 43,763,308.16/9,357.40
  6. Step 6: Final answer
    x = 4,676.87

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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.