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Finding the Fourth Proportional to 14,842, 20,476.28 and 9,808.64

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Solution

The fourth proportional to 14,842, 20,476.28 and 9,808.64 is: 13,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 20,476.28 = 9,808.64 : x
  2. Step 2: Convert to fraction form
    14,842/20,476.28 = 9,808.64/x
  3. Step 3: Cross multiply
    14,842x = 20,476.28 × 9,808.64
  4. Step 4: Simplify right side
    14,842x = 200,844,459.06
  5. Step 5: Solve for x
    x = 200,844,459.06/14,842
  6. Step 6: Final answer
    x = 13,532.17

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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.