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Finding the Fourth Proportional to 5,075.74, 7,006.80 and 2,980

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Solution

The fourth proportional to 5,075.74, 7,006.80 and 2,980 is: 4,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.74 : 7,006.80 = 2,980 : x
  2. Step 2: Convert to fraction form
    5,075.74/7,006.80 = 2,980/x
  3. Step 3: Cross multiply
    5,075.74x = 7,006.80 × 2,980
  4. Step 4: Simplify right side
    5,075.74x = 20,880,264
  5. Step 5: Solve for x
    x = 20,880,264/5,075.74
  6. Step 6: Final answer
    x = 4,113.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.