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Finding the Fourth Proportional to 11,498.95, 15,865.73 and 7,021.07

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Solution

The fourth proportional to 11,498.95, 15,865.73 and 7,021.07 is: 9,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.95 : 15,865.73 = 7,021.07 : x
  2. Step 2: Convert to fraction form
    11,498.95/15,865.73 = 7,021.07/x
  3. Step 3: Cross multiply
    11,498.95x = 15,865.73 × 7,021.07
  4. Step 4: Simplify right side
    11,498.95x = 111,394,400.93
  5. Step 5: Solve for x
    x = 111,394,400.93/11,498.95
  6. Step 6: Final answer
    x = 9,687.35

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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.