Home / 10,298-14,211.36-5,582.30

Finding the Fourth Proportional to 10,298, 14,211.36 and 5,582.30

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Solution

The fourth proportional to 10,298, 14,211.36 and 5,582.30 is: 7,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298 : 14,211.36 = 5,582.30 : x
  2. Step 2: Convert to fraction form
    10,298/14,211.36 = 5,582.30/x
  3. Step 3: Cross multiply
    10,298x = 14,211.36 × 5,582.30
  4. Step 4: Simplify right side
    10,298x = 79,332,074.93
  5. Step 5: Solve for x
    x = 79,332,074.93/10,298
  6. Step 6: Final answer
    x = 7,703.64

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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.