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Finding the Fourth Proportional to 6,831.18, 9,421.98 and 4,707.42

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Solution

The fourth proportional to 6,831.18, 9,421.98 and 4,707.42 is: 6,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.18 : 9,421.98 = 4,707.42 : x
  2. Step 2: Convert to fraction form
    6,831.18/9,421.98 = 4,707.42/x
  3. Step 3: Cross multiply
    6,831.18x = 9,421.98 × 4,707.42
  4. Step 4: Simplify right side
    6,831.18x = 44,353,217.09
  5. Step 5: Solve for x
    x = 44,353,217.09/6,831.18
  6. Step 6: Final answer
    x = 6,492.76

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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.