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Finding the Fourth Proportional to 13,981, 19,293.92 and 7,693.51

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Solution

The fourth proportional to 13,981, 19,293.92 and 7,693.51 is: 10,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 19,293.92 = 7,693.51 : x
  2. Step 2: Convert to fraction form
    13,981/19,293.92 = 7,693.51/x
  3. Step 3: Cross multiply
    13,981x = 19,293.92 × 7,693.51
  4. Step 4: Simplify right side
    13,981x = 148,437,927.99
  5. Step 5: Solve for x
    x = 148,437,927.99/13,981
  6. Step 6: Final answer
    x = 10,617.12

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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.