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Finding the Fourth Proportional to 1,971,855.40, 2,956,616.70 and 1,027,071.40

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Solution

The fourth proportional to 1,971,855.40, 2,956,616.70 and 1,027,071.40 is: 1,539,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,855.40 : 2,956,616.70 = 1,027,071.40 : x
  2. Step 2: Convert to fraction form
    1,971,855.40/2,956,616.70 = 1,027,071.40/x
  3. Step 3: Cross multiply
    1,971,855.40x = 2,956,616.70 × 1,027,071.40
  4. Step 4: Simplify right side
    1,971,855.40x = 3,036,656,453,332.38
  5. Step 5: Solve for x
    x = 3,036,656,453,332.38/1,971,855.40
  6. Step 6: Final answer
    x = 1,539,999.56

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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.