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Finding the Fourth Proportional to 10,637, 15,955.50 and 2,845.61

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Solution

The fourth proportional to 10,637, 15,955.50 and 2,845.61 is: 4,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637 : 15,955.50 = 2,845.61 : x
  2. Step 2: Convert to fraction form
    10,637/15,955.50 = 2,845.61/x
  3. Step 3: Cross multiply
    10,637x = 15,955.50 × 2,845.61
  4. Step 4: Simplify right side
    10,637x = 45,403,130.36
  5. Step 5: Solve for x
    x = 45,403,130.36/10,637
  6. Step 6: Final answer
    x = 4,268.42

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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.