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Finding the Fourth Proportional to 15,838.51, 21,857.01 and 8,765.32

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Solution

The fourth proportional to 15,838.51, 21,857.01 and 8,765.32 is: 12,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.51 : 21,857.01 = 8,765.32 : x
  2. Step 2: Convert to fraction form
    15,838.51/21,857.01 = 8,765.32/x
  3. Step 3: Cross multiply
    15,838.51x = 21,857.01 × 8,765.32
  4. Step 4: Simplify right side
    15,838.51x = 191,583,577.61
  5. Step 5: Solve for x
    x = 191,583,577.61/15,838.51
  6. Step 6: Final answer
    x = 12,096.06

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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.