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Finding the Fourth Proportional to 7,784,279.20, 11,648,425.20 and 5,264,855.20

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Solution

The fourth proportional to 7,784,279.20, 11,648,425.20 and 5,264,855.20 is: 7,878,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784,279.20 : 11,648,425.20 = 5,264,855.20 : x
  2. Step 2: Convert to fraction form
    7,784,279.20/11,648,425.20 = 5,264,855.20/x
  3. Step 3: Cross multiply
    7,784,279.20x = 11,648,425.20 × 5,264,855.20
  4. Step 4: Simplify right side
    7,784,279.20x = 61,327,271,986,031.04
  5. Step 5: Solve for x
    x = 61,327,271,986,031.04/7,784,279.20
  6. Step 6: Final answer
    x = 7,878,349.48

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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.