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Finding the Fourth Proportional to 6,274.32, 8,638.76 and 5,328.24

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Solution

The fourth proportional to 6,274.32, 8,638.76 and 5,328.24 is: 7,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.32 : 8,638.76 = 5,328.24 : x
  2. Step 2: Convert to fraction form
    6,274.32/8,638.76 = 5,328.24/x
  3. Step 3: Cross multiply
    6,274.32x = 8,638.76 × 5,328.24
  4. Step 4: Simplify right side
    6,274.32x = 46,029,386.58
  5. Step 5: Solve for x
    x = 46,029,386.58/6,274.32
  6. Step 6: Final answer
    x = 7,336.16

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Half scale
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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.