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Finding the Fourth Proportional to 11,615.94, 16,032.54 and 7,637.42

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Solution

The fourth proportional to 11,615.94, 16,032.54 and 7,637.42 is: 10,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.94 : 16,032.54 = 7,637.42 : x
  2. Step 2: Convert to fraction form
    11,615.94/16,032.54 = 7,637.42/x
  3. Step 3: Cross multiply
    11,615.94x = 16,032.54 × 7,637.42
  4. Step 4: Simplify right side
    11,615.94x = 122,447,310.37
  5. Step 5: Solve for x
    x = 122,447,310.37/11,615.94
  6. Step 6: Final answer
    x = 10,541.32

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1.5x scale

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.