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Finding the Fourth Proportional to 15,675.64, 21,633 and 8,602.31

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Solution

The fourth proportional to 15,675.64, 21,633 and 8,602.31 is: 11,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.64 : 21,633 = 8,602.31 : x
  2. Step 2: Convert to fraction form
    15,675.64/21,633 = 8,602.31/x
  3. Step 3: Cross multiply
    15,675.64x = 21,633 × 8,602.31
  4. Step 4: Simplify right side
    15,675.64x = 186,093,772.23
  5. Step 5: Solve for x
    x = 186,093,772.23/15,675.64
  6. Step 6: Final answer
    x = 11,871.53

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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.