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Finding the Fourth Proportional to 9,782,962.40, 14,656,728.90 and 8,365,786.40

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Solution

The fourth proportional to 9,782,962.40, 14,656,728.90 and 8,365,786.40 is: 12,533,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,962.40 : 14,656,728.90 = 8,365,786.40 : x
  2. Step 2: Convert to fraction form
    9,782,962.40/14,656,728.90 = 8,365,786.40/x
  3. Step 3: Cross multiply
    9,782,962.40x = 14,656,728.90 × 8,365,786.40
  4. Step 4: Simplify right side
    9,782,962.40x = 122,615,063,300,106.97
  5. Step 5: Solve for x
    x = 122,615,063,300,106.97/9,782,962.40
  6. Step 6: Final answer
    x = 12,533,531.08

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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.