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Finding the Fourth Proportional to 3,075.10, 4,612.65 and 853.93

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Solution

The fourth proportional to 3,075.10, 4,612.65 and 853.93 is: 1,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.10 : 4,612.65 = 853.93 : x
  2. Step 2: Convert to fraction form
    3,075.10/4,612.65 = 853.93/x
  3. Step 3: Cross multiply
    3,075.10x = 4,612.65 × 853.93
  4. Step 4: Simplify right side
    3,075.10x = 3,938,880.21
  5. Step 5: Solve for x
    x = 3,938,880.21/3,075.10
  6. Step 6: Final answer
    x = 1,280.90

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1.5x scale

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.