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Finding the Fourth Proportional to 15,926.84, 21,975.81 and 9,210

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Solution

The fourth proportional to 15,926.84, 21,975.81 and 9,210 is: 12,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.84 : 21,975.81 = 9,210 : x
  2. Step 2: Convert to fraction form
    15,926.84/21,975.81 = 9,210/x
  3. Step 3: Cross multiply
    15,926.84x = 21,975.81 × 9,210
  4. Step 4: Simplify right side
    15,926.84x = 202,397,210.10
  5. Step 5: Solve for x
    x = 202,397,210.10/15,926.84
  6. Step 6: Final answer
    x = 12,707.94

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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.