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Finding the Fourth Proportional to 13,993, 19,308.58 and 9,465.56

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Solution

The fourth proportional to 13,993, 19,308.58 and 9,465.56 is: 13,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993 : 19,308.58 = 9,465.56 : x
  2. Step 2: Convert to fraction form
    13,993/19,308.58 = 9,465.56/x
  3. Step 3: Cross multiply
    13,993x = 19,308.58 × 9,465.56
  4. Step 4: Simplify right side
    13,993x = 182,766,522.50
  5. Step 5: Solve for x
    x = 182,766,522.50/13,993
  6. Step 6: Final answer
    x = 13,061.28

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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.