Home / 10,138.02-13,989.96-5,946

Finding the Fourth Proportional to 10,138.02, 13,989.96 and 5,946

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Solution

The fourth proportional to 10,138.02, 13,989.96 and 5,946 is: 8,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.02 : 13,989.96 = 5,946 : x
  2. Step 2: Convert to fraction form
    10,138.02/13,989.96 = 5,946/x
  3. Step 3: Cross multiply
    10,138.02x = 13,989.96 × 5,946
  4. Step 4: Simplify right side
    10,138.02x = 83,184,302.16
  5. Step 5: Solve for x
    x = 83,184,302.16/10,138.02
  6. Step 6: Final answer
    x = 8,205.18

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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.