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Finding the Fourth Proportional to 13,674, 18,870.14 and 7,386.38

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Solution

The fourth proportional to 13,674, 18,870.14 and 7,386.38 is: 10,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 18,870.14 = 7,386.38 : x
  2. Step 2: Convert to fraction form
    13,674/18,870.14 = 7,386.38/x
  3. Step 3: Cross multiply
    13,674x = 18,870.14 × 7,386.38
  4. Step 4: Simplify right side
    13,674x = 139,381,893.41
  5. Step 5: Solve for x
    x = 139,381,893.41/13,674
  6. Step 6: Final answer
    x = 10,193.21

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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.