Home / 9,102.92-12,564.18-5,789

Finding the Fourth Proportional to 9,102.92, 12,564.18 and 5,789

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Solution

The fourth proportional to 9,102.92, 12,564.18 and 5,789 is: 7,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.92 : 12,564.18 = 5,789 : x
  2. Step 2: Convert to fraction form
    9,102.92/12,564.18 = 5,789/x
  3. Step 3: Cross multiply
    9,102.92x = 12,564.18 × 5,789
  4. Step 4: Simplify right side
    9,102.92x = 72,734,038.02
  5. Step 5: Solve for x
    x = 72,734,038.02/9,102.92
  6. Step 6: Final answer
    x = 7,990.19

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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.