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Finding the Fourth Proportional to 19,103.16, 28,649.88 and 7,410

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Solution

The fourth proportional to 19,103.16, 28,649.88 and 7,410 is: 11,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,103.16 : 28,649.88 = 7,410 : x
  2. Step 2: Convert to fraction form
    19,103.16/28,649.88 = 7,410/x
  3. Step 3: Cross multiply
    19,103.16x = 28,649.88 × 7,410
  4. Step 4: Simplify right side
    19,103.16x = 212,295,610.80
  5. Step 5: Solve for x
    x = 212,295,610.80/19,103.16
  6. Step 6: Final answer
    x = 11,113.11

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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.