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Finding the Fourth Proportional to 15,689, 21,655.68 and 10,100

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Solution

The fourth proportional to 15,689, 21,655.68 and 10,100 is: 13,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689 : 21,655.68 = 10,100 : x
  2. Step 2: Convert to fraction form
    15,689/21,655.68 = 10,100/x
  3. Step 3: Cross multiply
    15,689x = 21,655.68 × 10,100
  4. Step 4: Simplify right side
    15,689x = 218,722,368
  5. Step 5: Solve for x
    x = 218,722,368/15,689
  6. Step 6: Final answer
    x = 13,941.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.