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Finding the Fourth Proportional to 7,037.40, 9,710.70 and 3,893.40

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Solution

The fourth proportional to 7,037.40, 9,710.70 and 3,893.40 is: 5,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.40 : 9,710.70 = 3,893.40 : x
  2. Step 2: Convert to fraction form
    7,037.40/9,710.70 = 3,893.40/x
  3. Step 3: Cross multiply
    7,037.40x = 9,710.70 × 3,893.40
  4. Step 4: Simplify right side
    7,037.40x = 37,807,639.38
  5. Step 5: Solve for x
    x = 37,807,639.38/7,037.40
  6. Step 6: Final answer
    x = 5,372.39

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.