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Finding the Fourth Proportional to 8,047.12, 12,075.36 and 3,430

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Solution

The fourth proportional to 8,047.12, 12,075.36 and 3,430 is: 5,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.12 : 12,075.36 = 3,430 : x
  2. Step 2: Convert to fraction form
    8,047.12/12,075.36 = 3,430/x
  3. Step 3: Cross multiply
    8,047.12x = 12,075.36 × 3,430
  4. Step 4: Simplify right side
    8,047.12x = 41,418,484.80
  5. Step 5: Solve for x
    x = 41,418,484.80/8,047.12
  6. Step 6: Final answer
    x = 5,146.99

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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.