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Finding the Fourth Proportional to 9,869,978.20, 14,804,967.30 and 7,627,725.40

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Solution

The fourth proportional to 9,869,978.20, 14,804,967.30 and 7,627,725.40 is: 11,441,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,978.20 : 14,804,967.30 = 7,627,725.40 : x
  2. Step 2: Convert to fraction form
    9,869,978.20/14,804,967.30 = 7,627,725.40/x
  3. Step 3: Cross multiply
    9,869,978.20x = 14,804,967.30 × 7,627,725.40
  4. Step 4: Simplify right side
    9,869,978.20x = 112,928,225,120,379.44
  5. Step 5: Solve for x
    x = 112,928,225,120,379.44/9,869,978.20
  6. Step 6: Final answer
    x = 11,441,588.10

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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.