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Finding the Fourth Proportional to 1,653.96, 2,277.84 and 1,530.84

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Solution

The fourth proportional to 1,653.96, 2,277.84 and 1,530.84 is: 2,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.96 : 2,277.84 = 1,530.84 : x
  2. Step 2: Convert to fraction form
    1,653.96/2,277.84 = 1,530.84/x
  3. Step 3: Cross multiply
    1,653.96x = 2,277.84 × 1,530.84
  4. Step 4: Simplify right side
    1,653.96x = 3,487,008.59
  5. Step 5: Solve for x
    x = 3,487,008.59/1,653.96
  6. Step 6: Final answer
    x = 2,108.28

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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.