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Finding the Fourth Proportional to 9,842, 13,582.02 and 5,426

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Solution

The fourth proportional to 9,842, 13,582.02 and 5,426 is: 7,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842 : 13,582.02 = 5,426 : x
  2. Step 2: Convert to fraction form
    9,842/13,582.02 = 5,426/x
  3. Step 3: Cross multiply
    9,842x = 13,582.02 × 5,426
  4. Step 4: Simplify right side
    9,842x = 73,696,040.52
  5. Step 5: Solve for x
    x = 73,696,040.52/9,842
  6. Step 6: Final answer
    x = 7,487.91

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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.