Home / 9,726.88-13,420-5,749.36

Finding the Fourth Proportional to 9,726.88, 13,420 and 5,749.36

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Solution

The fourth proportional to 9,726.88, 13,420 and 5,749.36 is: 7,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.88 : 13,420 = 5,749.36 : x
  2. Step 2: Convert to fraction form
    9,726.88/13,420 = 5,749.36/x
  3. Step 3: Cross multiply
    9,726.88x = 13,420 × 5,749.36
  4. Step 4: Simplify right side
    9,726.88x = 77,156,411.20
  5. Step 5: Solve for x
    x = 77,156,411.20/9,726.88
  6. Step 6: Final answer
    x = 7,932.29

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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.