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Finding the Fourth Proportional to 2,075.02, 3,113.08 and 776.50

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Solution

The fourth proportional to 2,075.02, 3,113.08 and 776.50 is: 1,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.02 : 3,113.08 = 776.50 : x
  2. Step 2: Convert to fraction form
    2,075.02/3,113.08 = 776.50/x
  3. Step 3: Cross multiply
    2,075.02x = 3,113.08 × 776.50
  4. Step 4: Simplify right side
    2,075.02x = 2,417,306.62
  5. Step 5: Solve for x
    x = 2,417,306.62/2,075.02
  6. Step 6: Final answer
    x = 1,164.96

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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.