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Finding the Fourth Proportional to 9,386.95, 12,953.46 and 5,137.21

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Solution

The fourth proportional to 9,386.95, 12,953.46 and 5,137.21 is: 7,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.95 : 12,953.46 = 5,137.21 : x
  2. Step 2: Convert to fraction form
    9,386.95/12,953.46 = 5,137.21/x
  3. Step 3: Cross multiply
    9,386.95x = 12,953.46 × 5,137.21
  4. Step 4: Simplify right side
    9,386.95x = 66,544,644.25
  5. Step 5: Solve for x
    x = 66,544,644.25/9,386.95
  6. Step 6: Final answer
    x = 7,089.06

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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.