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Finding the Fourth Proportional to 4,960, 6,857.60 and 4,742.40

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Solution

The fourth proportional to 4,960, 6,857.60 and 4,742.40 is: 6,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960 : 6,857.60 = 4,742.40 : x
  2. Step 2: Convert to fraction form
    4,960/6,857.60 = 4,742.40/x
  3. Step 3: Cross multiply
    4,960x = 6,857.60 × 4,742.40
  4. Step 4: Simplify right side
    4,960x = 32,521,482.24
  5. Step 5: Solve for x
    x = 32,521,482.24/4,960
  6. Step 6: Final answer
    x = 6,556.75

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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.