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Finding the Fourth Proportional to 2,632.16, 3,948.35 and 684.32

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Solution

The fourth proportional to 2,632.16, 3,948.35 and 684.32 is: 1,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.16 : 3,948.35 = 684.32 : x
  2. Step 2: Convert to fraction form
    2,632.16/3,948.35 = 684.32/x
  3. Step 3: Cross multiply
    2,632.16x = 3,948.35 × 684.32
  4. Step 4: Simplify right side
    2,632.16x = 2,701,911.71
  5. Step 5: Solve for x
    x = 2,701,911.71/2,632.16
  6. Step 6: Final answer
    x = 1,026.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.