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Finding the Fourth Proportional to 30,921.99, 46,386.63 and 9,854.70

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Solution

The fourth proportional to 30,921.99, 46,386.63 and 9,854.70 is: 14,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.99 : 46,386.63 = 9,854.70 : x
  2. Step 2: Convert to fraction form
    30,921.99/46,386.63 = 9,854.70/x
  3. Step 3: Cross multiply
    30,921.99x = 46,386.63 × 9,854.70
  4. Step 4: Simplify right side
    30,921.99x = 457,126,322.66
  5. Step 5: Solve for x
    x = 457,126,322.66/30,921.99
  6. Step 6: Final answer
    x = 14,783.21

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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.