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Finding the Fourth Proportional to 7,129.96, 9,831.93 and 4,296.77

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Solution

The fourth proportional to 7,129.96, 9,831.93 and 4,296.77 is: 5,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.96 : 9,831.93 = 4,296.77 : x
  2. Step 2: Convert to fraction form
    7,129.96/9,831.93 = 4,296.77/x
  3. Step 3: Cross multiply
    7,129.96x = 9,831.93 × 4,296.77
  4. Step 4: Simplify right side
    7,129.96x = 42,245,565.28
  5. Step 5: Solve for x
    x = 42,245,565.28/7,129.96
  6. Step 6: Final answer
    x = 5,925.08

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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.