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Finding the Fourth Proportional to 4,678.64, 7,017.12 and 1,215.68

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Solution

The fourth proportional to 4,678.64, 7,017.12 and 1,215.68 is: 1,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.64 : 7,017.12 = 1,215.68 : x
  2. Step 2: Convert to fraction form
    4,678.64/7,017.12 = 1,215.68/x
  3. Step 3: Cross multiply
    4,678.64x = 7,017.12 × 1,215.68
  4. Step 4: Simplify right side
    4,678.64x = 8,530,572.44
  5. Step 5: Solve for x
    x = 8,530,572.44/4,678.64
  6. Step 6: Final answer
    x = 1,823.30

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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.