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Finding the Fourth Proportional to 9,726.38, 13,421.63 and 5,746.74

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Solution

The fourth proportional to 9,726.38, 13,421.63 and 5,746.74 is: 7,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.38 : 13,421.63 = 5,746.74 : x
  2. Step 2: Convert to fraction form
    9,726.38/13,421.63 = 5,746.74/x
  3. Step 3: Cross multiply
    9,726.38x = 13,421.63 × 5,746.74
  4. Step 4: Simplify right side
    9,726.38x = 77,130,617.99
  5. Step 5: Solve for x
    x = 77,130,617.99/9,726.38
  6. Step 6: Final answer
    x = 7,930.05

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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.