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Finding the Fourth Proportional to 5,612.64, 7,746.58 and 3,724.32

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Solution

The fourth proportional to 5,612.64, 7,746.58 and 3,724.32 is: 5,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.64 : 7,746.58 = 3,724.32 : x
  2. Step 2: Convert to fraction form
    5,612.64/7,746.58 = 3,724.32/x
  3. Step 3: Cross multiply
    5,612.64x = 7,746.58 × 3,724.32
  4. Step 4: Simplify right side
    5,612.64x = 28,850,742.83
  5. Step 5: Solve for x
    x = 28,850,742.83/5,612.64
  6. Step 6: Final answer
    x = 5,140.32

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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.