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Finding the Fourth Proportional to 4,042.40, 5,646.40 and 4,042.40

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Solution

The fourth proportional to 4,042.40, 5,646.40 and 4,042.40 is: 5,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.40 : 5,646.40 = 4,042.40 : x
  2. Step 2: Convert to fraction form
    4,042.40/5,646.40 = 4,042.40/x
  3. Step 3: Cross multiply
    4,042.40x = 5,646.40 × 4,042.40
  4. Step 4: Simplify right side
    4,042.40x = 22,825,007.36
  5. Step 5: Solve for x
    x = 22,825,007.36/4,042.40
  6. Step 6: Final answer
    x = 5,646.40

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.