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Finding the Fourth Proportional to 15,700, 21,665.04 and 8,625.76

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Solution

The fourth proportional to 15,700, 21,665.04 and 8,625.76 is: 11,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 21,665.04 = 8,625.76 : x
  2. Step 2: Convert to fraction form
    15,700/21,665.04 = 8,625.76/x
  3. Step 3: Cross multiply
    15,700x = 21,665.04 × 8,625.76
  4. Step 4: Simplify right side
    15,700x = 186,877,435.43
  5. Step 5: Solve for x
    x = 186,877,435.43/15,700
  6. Step 6: Final answer
    x = 11,903.02

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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.