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Finding the Fourth Proportional to 13,114.53, 19,671.64 and 7,851.01

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Solution

The fourth proportional to 13,114.53, 19,671.64 and 7,851.01 is: 11,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.53 : 19,671.64 = 7,851.01 : x
  2. Step 2: Convert to fraction form
    13,114.53/19,671.64 = 7,851.01/x
  3. Step 3: Cross multiply
    13,114.53x = 19,671.64 × 7,851.01
  4. Step 4: Simplify right side
    13,114.53x = 154,442,242.36
  5. Step 5: Solve for x
    x = 154,442,242.36/13,114.53
  6. Step 6: Final answer
    x = 11,776.42

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1.5x scale

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.