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Finding the Fourth Proportional to 6,643,853.70, 9,965,780.55 and 1,595,164.20

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Solution

The fourth proportional to 6,643,853.70, 9,965,780.55 and 1,595,164.20 is: 2,392,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,853.70 : 9,965,780.55 = 1,595,164.20 : x
  2. Step 2: Convert to fraction form
    6,643,853.70/9,965,780.55 = 1,595,164.20/x
  3. Step 3: Cross multiply
    6,643,853.70x = 9,965,780.55 × 1,595,164.20
  4. Step 4: Simplify right side
    6,643,853.70x = 15,897,056,358,416.31
  5. Step 5: Solve for x
    x = 15,897,056,358,416.31/6,643,853.70
  6. Step 6: Final answer
    x = 2,392,746.30

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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.