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Finding the Fourth Proportional to 1,506.81, 2,259 and 1,420.95

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Solution

The fourth proportional to 1,506.81, 2,259 and 1,420.95 is: 2,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.81 : 2,259 = 1,420.95 : x
  2. Step 2: Convert to fraction form
    1,506.81/2,259 = 1,420.95/x
  3. Step 3: Cross multiply
    1,506.81x = 2,259 × 1,420.95
  4. Step 4: Simplify right side
    1,506.81x = 3,209,926.05
  5. Step 5: Solve for x
    x = 3,209,926.05/1,506.81
  6. Step 6: Final answer
    x = 2,130.28

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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.