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Finding the Fourth Proportional to 18,904.88, 28,362 and 7,814.76

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Solution

The fourth proportional to 18,904.88, 28,362 and 7,814.76 is: 11,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,904.88 : 28,362 = 7,814.76 : x
  2. Step 2: Convert to fraction form
    18,904.88/28,362 = 7,814.76/x
  3. Step 3: Cross multiply
    18,904.88x = 28,362 × 7,814.76
  4. Step 4: Simplify right side
    18,904.88x = 221,642,223.12
  5. Step 5: Solve for x
    x = 221,642,223.12/18,904.88
  6. Step 6: Final answer
    x = 11,724.08

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1.5x scale

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.