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Finding the Fourth Proportional to 4,646.00, 6,971.05 and 1,878.08

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Solution

The fourth proportional to 4,646.00, 6,971.05 and 1,878.08 is: 2,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.00 : 6,971.05 = 1,878.08 : x
  2. Step 2: Convert to fraction form
    4,646.00/6,971.05 = 1,878.08/x
  3. Step 3: Cross multiply
    4,646.00x = 6,971.05 × 1,878.08
  4. Step 4: Simplify right side
    4,646.00x = 13,092,150.03
  5. Step 5: Solve for x
    x = 13,092,150.03/4,646.00
  6. Step 6: Final answer
    x = 2,817.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.