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Finding the Fourth Proportional to 1,281.45, 1,919.48 and 1,038.45

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Solution

The fourth proportional to 1,281.45, 1,919.48 and 1,038.45 is: 1,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.45 : 1,919.48 = 1,038.45 : x
  2. Step 2: Convert to fraction form
    1,281.45/1,919.48 = 1,038.45/x
  3. Step 3: Cross multiply
    1,281.45x = 1,919.48 × 1,038.45
  4. Step 4: Simplify right side
    1,281.45x = 1,993,278.81
  5. Step 5: Solve for x
    x = 1,993,278.81/1,281.45
  6. Step 6: Final answer
    x = 1,555.49

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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.