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Finding the Fourth Proportional to 8,340,564.80, 12,537,573.60 and 7,748,897.60

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Solution

The fourth proportional to 8,340,564.80, 12,537,573.60 and 7,748,897.60 is: 11,648,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340,564.80 : 12,537,573.60 = 7,748,897.60 : x
  2. Step 2: Convert to fraction form
    8,340,564.80/12,537,573.60 = 7,748,897.60/x
  3. Step 3: Cross multiply
    8,340,564.80x = 12,537,573.60 × 7,748,897.60
  4. Step 4: Simplify right side
    8,340,564.80x = 97,152,373,978,863.36
  5. Step 5: Solve for x
    x = 97,152,373,978,863.36/8,340,564.80
  6. Step 6: Final answer
    x = 11,648,176.87

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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.