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Finding the Fourth Proportional to 3,345.70, 4,693.70 and 3,345.70

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Solution

The fourth proportional to 3,345.70, 4,693.70 and 3,345.70 is: 4,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.70 : 4,693.70 = 3,345.70 : x
  2. Step 2: Convert to fraction form
    3,345.70/4,693.70 = 3,345.70/x
  3. Step 3: Cross multiply
    3,345.70x = 4,693.70 × 3,345.70
  4. Step 4: Simplify right side
    3,345.70x = 15,703,712.09
  5. Step 5: Solve for x
    x = 15,703,712.09/3,345.70
  6. Step 6: Final answer
    x = 4,693.70

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Half scale
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Double 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.