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Finding the Fourth Proportional to 12,842,707.68, 19,261,113.63 and 7,656,784.61

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Solution

The fourth proportional to 12,842,707.68, 19,261,113.63 and 7,656,784.61 is: 11,483,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842,707.68 : 19,261,113.63 = 7,656,784.61 : x
  2. Step 2: Convert to fraction form
    12,842,707.68/19,261,113.63 = 7,656,784.61/x
  3. Step 3: Cross multiply
    12,842,707.68x = 19,261,113.63 × 7,656,784.61
  4. Step 4: Simplify right side
    12,842,707.68x = 147,478,198,317,339.66
  5. Step 5: Solve for x
    x = 147,478,198,317,339.66/12,842,707.68
  6. Step 6: Final answer
    x = 11,483,419.38

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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.