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Finding the Fourth Proportional to 30,041.47, 45,064.78 and 7,854.81

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Solution

The fourth proportional to 30,041.47, 45,064.78 and 7,854.81 is: 11,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.47 : 45,064.78 = 7,854.81 : x
  2. Step 2: Convert to fraction form
    30,041.47/45,064.78 = 7,854.81/x
  3. Step 3: Cross multiply
    30,041.47x = 45,064.78 × 7,854.81
  4. Step 4: Simplify right side
    30,041.47x = 353,975,245.32
  5. Step 5: Solve for x
    x = 353,975,245.32/30,041.47
  6. Step 6: Final answer
    x = 11,782.89

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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.