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Finding the Fourth Proportional to 6,470.64, 8,929.68 and 3,820.32

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Solution

The fourth proportional to 6,470.64, 8,929.68 and 3,820.32 is: 5,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.64 : 8,929.68 = 3,820.32 : x
  2. Step 2: Convert to fraction form
    6,470.64/8,929.68 = 3,820.32/x
  3. Step 3: Cross multiply
    6,470.64x = 8,929.68 × 3,820.32
  4. Step 4: Simplify right side
    6,470.64x = 34,114,235.10
  5. Step 5: Solve for x
    x = 34,114,235.10/6,470.64
  6. Step 6: Final answer
    x = 5,272.16

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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.