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Finding the Fourth Proportional to 2,646.70, 3,710.50 and 2,646.70

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Solution

The fourth proportional to 2,646.70, 3,710.50 and 2,646.70 is: 3,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.70 : 3,710.50 = 2,646.70 : x
  2. Step 2: Convert to fraction form
    2,646.70/3,710.50 = 2,646.70/x
  3. Step 3: Cross multiply
    2,646.70x = 3,710.50 × 2,646.70
  4. Step 4: Simplify right side
    2,646.70x = 9,820,580.35
  5. Step 5: Solve for x
    x = 9,820,580.35/2,646.70
  6. Step 6: Final answer
    x = 3,710.50

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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.