Home / 10,938.64-16,411.80-6,829.84

Finding the Fourth Proportional to 10,938.64, 16,411.80 and 6,829.84

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Solution

The fourth proportional to 10,938.64, 16,411.80 and 6,829.84 is: 10,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.64 : 16,411.80 = 6,829.84 : x
  2. Step 2: Convert to fraction form
    10,938.64/16,411.80 = 6,829.84/x
  3. Step 3: Cross multiply
    10,938.64x = 16,411.80 × 6,829.84
  4. Step 4: Simplify right side
    10,938.64x = 112,089,968.11
  5. Step 5: Solve for x
    x = 112,089,968.11/10,938.64
  6. Step 6: Final answer
    x = 10,247.16

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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.