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Finding the Fourth Proportional to 1,520, 2,268.76 and 1,483.16

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Solution

The fourth proportional to 1,520, 2,268.76 and 1,483.16 is: 2,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520 : 2,268.76 = 1,483.16 : x
  2. Step 2: Convert to fraction form
    1,520/2,268.76 = 1,483.16/x
  3. Step 3: Cross multiply
    1,520x = 2,268.76 × 1,483.16
  4. Step 4: Simplify right side
    1,520x = 3,364,934.08
  5. Step 5: Solve for x
    x = 3,364,934.08/1,520
  6. Step 6: Final answer
    x = 2,213.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.