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Finding the Fourth Proportional to 9,938, 13,714.44 and 5,746.52

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Solution

The fourth proportional to 9,938, 13,714.44 and 5,746.52 is: 7,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938 : 13,714.44 = 5,746.52 : x
  2. Step 2: Convert to fraction form
    9,938/13,714.44 = 5,746.52/x
  3. Step 3: Cross multiply
    9,938x = 13,714.44 × 5,746.52
  4. Step 4: Simplify right side
    9,938x = 78,810,303.75
  5. Step 5: Solve for x
    x = 78,810,303.75/9,938
  6. Step 6: Final answer
    x = 7,930.20

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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.