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Finding the Fourth Proportional to 4,654.32, 6,423 and 2,558.40

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Solution

The fourth proportional to 4,654.32, 6,423 and 2,558.40 is: 3,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.32 : 6,423 = 2,558.40 : x
  2. Step 2: Convert to fraction form
    4,654.32/6,423 = 2,558.40/x
  3. Step 3: Cross multiply
    4,654.32x = 6,423 × 2,558.40
  4. Step 4: Simplify right side
    4,654.32x = 16,432,603.20
  5. Step 5: Solve for x
    x = 16,432,603.20/4,654.32
  6. Step 6: Final answer
    x = 3,530.61

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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.