Home / 20,802.36-31,196.70-10,407

Finding the Fourth Proportional to 20,802.36, 31,196.70 and 10,407

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Solution

The fourth proportional to 20,802.36, 31,196.70 and 10,407 is: 15,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.36 : 31,196.70 = 10,407 : x
  2. Step 2: Convert to fraction form
    20,802.36/31,196.70 = 10,407/x
  3. Step 3: Cross multiply
    20,802.36x = 31,196.70 × 10,407
  4. Step 4: Simplify right side
    20,802.36x = 324,664,056.90
  5. Step 5: Solve for x
    x = 324,664,056.90/20,802.36
  6. Step 6: Final answer
    x = 15,607.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.