Home / 1,106.12-1,528-1,047.80

Finding the Fourth Proportional to 1,106.12, 1,528 and 1,047.80

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Solution

The fourth proportional to 1,106.12, 1,528 and 1,047.80 is: 1,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.12 : 1,528 = 1,047.80 : x
  2. Step 2: Convert to fraction form
    1,106.12/1,528 = 1,047.80/x
  3. Step 3: Cross multiply
    1,106.12x = 1,528 × 1,047.80
  4. Step 4: Simplify right side
    1,106.12x = 1,601,038.40
  5. Step 5: Solve for x
    x = 1,601,038.40/1,106.12
  6. Step 6: Final answer
    x = 1,447.44

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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.