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Finding the Fourth Proportional to 30,014.61, 45,028.76 and 10,291.98

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Solution

The fourth proportional to 30,014.61, 45,028.76 and 10,291.98 is: 15,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.61 : 45,028.76 = 10,291.98 : x
  2. Step 2: Convert to fraction form
    30,014.61/45,028.76 = 10,291.98/x
  3. Step 3: Cross multiply
    30,014.61x = 45,028.76 × 10,291.98
  4. Step 4: Simplify right side
    30,014.61x = 463,435,045.88
  5. Step 5: Solve for x
    x = 463,435,045.88/30,014.61
  6. Step 6: Final answer
    x = 15,440.32

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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.