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Finding the Fourth Proportional to 2,988.19, 4,482.64 and 986.95

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Solution

The fourth proportional to 2,988.19, 4,482.64 and 986.95 is: 1,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.19 : 4,482.64 = 986.95 : x
  2. Step 2: Convert to fraction form
    2,988.19/4,482.64 = 986.95/x
  3. Step 3: Cross multiply
    2,988.19x = 4,482.64 × 986.95
  4. Step 4: Simplify right side
    2,988.19x = 4,424,119.13
  5. Step 5: Solve for x
    x = 4,424,119.13/2,988.19
  6. Step 6: Final answer
    x = 1,480.54

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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.