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Finding the Fourth Proportional to 7,776,009.60, 11,664,014.40 and 5,760,470.40

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Solution

The fourth proportional to 7,776,009.60, 11,664,014.40 and 5,760,470.40 is: 8,640,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,009.60 : 11,664,014.40 = 5,760,470.40 : x
  2. Step 2: Convert to fraction form
    7,776,009.60/11,664,014.40 = 5,760,470.40/x
  3. Step 3: Cross multiply
    7,776,009.60x = 11,664,014.40 × 5,760,470.40
  4. Step 4: Simplify right side
    7,776,009.60x = 67,190,209,696,373.77
  5. Step 5: Solve for x
    x = 67,190,209,696,373.77/7,776,009.60
  6. Step 6: Final answer
    x = 8,640,705.60

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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.