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Finding the Fourth Proportional to 7,892,902.50, 10,892,205.47 and 4,271,230.50

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Solution

The fourth proportional to 7,892,902.50, 10,892,205.47 and 4,271,230.50 is: 5,894,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892,902.50 : 10,892,205.47 = 4,271,230.50 : x
  2. Step 2: Convert to fraction form
    7,892,902.50/10,892,205.47 = 4,271,230.50/x
  3. Step 3: Cross multiply
    7,892,902.50x = 10,892,205.47 × 4,271,230.50
  4. Step 4: Simplify right side
    7,892,902.50x = 46,523,120,215,730.84
  5. Step 5: Solve for x
    x = 46,523,120,215,730.84/7,892,902.50
  6. Step 6: Final answer
    x = 5,894,298.10

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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.