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Finding the Fourth Proportional to 9,726.66, 13,419.68 and 5,749.11

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Solution

The fourth proportional to 9,726.66, 13,419.68 and 5,749.11 is: 7,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.66 : 13,419.68 = 5,749.11 : x
  2. Step 2: Convert to fraction form
    9,726.66/13,419.68 = 5,749.11/x
  3. Step 3: Cross multiply
    9,726.66x = 13,419.68 × 5,749.11
  4. Step 4: Simplify right side
    9,726.66x = 77,151,187.74
  5. Step 5: Solve for x
    x = 77,151,187.74/9,726.66
  6. Step 6: Final answer
    x = 7,931.93

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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.