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Finding the Fourth Proportional to 8,974.80, 13,459.80 and 3,130.80

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Solution

The fourth proportional to 8,974.80, 13,459.80 and 3,130.80 is: 4,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.80 : 13,459.80 = 3,130.80 : x
  2. Step 2: Convert to fraction form
    8,974.80/13,459.80 = 3,130.80/x
  3. Step 3: Cross multiply
    8,974.80x = 13,459.80 × 3,130.80
  4. Step 4: Simplify right side
    8,974.80x = 42,139,941.84
  5. Step 5: Solve for x
    x = 42,139,941.84/8,974.80
  6. Step 6: Final answer
    x = 4,695.36

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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.