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Finding the Fourth Proportional to 9,846, 13,587.36 and 5,653.92

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Solution

The fourth proportional to 9,846, 13,587.36 and 5,653.92 is: 7,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 13,587.36 = 5,653.92 : x
  2. Step 2: Convert to fraction form
    9,846/13,587.36 = 5,653.92/x
  3. Step 3: Cross multiply
    9,846x = 13,587.36 × 5,653.92
  4. Step 4: Simplify right side
    9,846x = 76,821,846.45
  5. Step 5: Solve for x
    x = 76,821,846.45/9,846
  6. Step 6: Final answer
    x = 7,802.34

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1.5x scale

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.