Home / 9,828-13,563.45-5,637.06

Finding the Fourth Proportional to 9,828, 13,563.45 and 5,637.06

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Solution

The fourth proportional to 9,828, 13,563.45 and 5,637.06 is: 7,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 13,563.45 = 5,637.06 : x
  2. Step 2: Convert to fraction form
    9,828/13,563.45 = 5,637.06/x
  3. Step 3: Cross multiply
    9,828x = 13,563.45 × 5,637.06
  4. Step 4: Simplify right side
    9,828x = 76,457,981.46
  5. Step 5: Solve for x
    x = 76,457,981.46/9,828
  6. Step 6: Final answer
    x = 7,779.61

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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.