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Finding the Fourth Proportional to 28,541.84, 42,802.27 and 9,816.57

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Solution

The fourth proportional to 28,541.84, 42,802.27 and 9,816.57 is: 14,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,541.84 : 42,802.27 = 9,816.57 : x
  2. Step 2: Convert to fraction form
    28,541.84/42,802.27 = 9,816.57/x
  3. Step 3: Cross multiply
    28,541.84x = 42,802.27 × 9,816.57
  4. Step 4: Simplify right side
    28,541.84x = 420,171,479.61
  5. Step 5: Solve for x
    x = 420,171,479.61/28,541.84
  6. Step 6: Final answer
    x = 14,721.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.