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Finding the Fourth Proportional to 9,991,071.74, 13,787,678.64 and 5,407,393.10

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Solution

The fourth proportional to 9,991,071.74, 13,787,678.64 and 5,407,393.10 is: 7,462,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,071.74 : 13,787,678.64 = 5,407,393.10 : x
  2. Step 2: Convert to fraction form
    9,991,071.74/13,787,678.64 = 5,407,393.10/x
  3. Step 3: Cross multiply
    9,991,071.74x = 13,787,678.64 × 5,407,393.10
  4. Step 4: Simplify right side
    9,991,071.74x = 74,555,398,342,953.38
  5. Step 5: Solve for x
    x = 74,555,398,342,953.38/9,991,071.74
  6. Step 6: Final answer
    x = 7,462,202.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.