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Finding the Fourth Proportional to 9,142, 12,616.05 and 4,950.34

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Solution

The fourth proportional to 9,142, 12,616.05 and 4,950.34 is: 6,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142 : 12,616.05 = 4,950.34 : x
  2. Step 2: Convert to fraction form
    9,142/12,616.05 = 4,950.34/x
  3. Step 3: Cross multiply
    9,142x = 12,616.05 × 4,950.34
  4. Step 4: Simplify right side
    9,142x = 62,453,736.96
  5. Step 5: Solve for x
    x = 62,453,736.96/9,142
  6. Step 6: Final answer
    x = 6,831.52

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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.