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Finding the Fourth Proportional to 11,524.95, 15,900.49 and 6,989.01

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Solution

The fourth proportional to 11,524.95, 15,900.49 and 6,989.01 is: 9,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.95 : 15,900.49 = 6,989.01 : x
  2. Step 2: Convert to fraction form
    11,524.95/15,900.49 = 6,989.01/x
  3. Step 3: Cross multiply
    11,524.95x = 15,900.49 × 6,989.01
  4. Step 4: Simplify right side
    11,524.95x = 111,128,648.67
  5. Step 5: Solve for x
    x = 111,128,648.67/11,524.95
  6. Step 6: Final answer
    x = 9,642.45

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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.