Home / 10,802.40-14,903.22-6,822

Finding the Fourth Proportional to 10,802.40, 14,903.22 and 6,822

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Solution

The fourth proportional to 10,802.40, 14,903.22 and 6,822 is: 9,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.40 : 14,903.22 = 6,822 : x
  2. Step 2: Convert to fraction form
    10,802.40/14,903.22 = 6,822/x
  3. Step 3: Cross multiply
    10,802.40x = 14,903.22 × 6,822
  4. Step 4: Simplify right side
    10,802.40x = 101,669,766.84
  5. Step 5: Solve for x
    x = 101,669,766.84/10,802.40
  6. Step 6: Final answer
    x = 9,411.78

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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.