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Finding the Fourth Proportional to 19,210.68, 28,820.27 and 7,524

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Solution

The fourth proportional to 19,210.68, 28,820.27 and 7,524 is: 11,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210.68 : 28,820.27 = 7,524 : x
  2. Step 2: Convert to fraction form
    19,210.68/28,820.27 = 7,524/x
  3. Step 3: Cross multiply
    19,210.68x = 28,820.27 × 7,524
  4. Step 4: Simplify right side
    19,210.68x = 216,843,730.29
  5. Step 5: Solve for x
    x = 216,843,730.29/19,210.68
  6. Step 6: Final answer
    x = 11,287.67

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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.