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Finding the Fourth Proportional to 30,969.92, 46,487.64 and 19,291.16

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Solution

The fourth proportional to 30,969.92, 46,487.64 and 19,291.16 is: 28,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.92 : 46,487.64 = 19,291.16 : x
  2. Step 2: Convert to fraction form
    30,969.92/46,487.64 = 19,291.16/x
  3. Step 3: Cross multiply
    30,969.92x = 46,487.64 × 19,291.16
  4. Step 4: Simplify right side
    30,969.92x = 896,800,501.26
  5. Step 5: Solve for x
    x = 896,800,501.26/30,969.92
  6. Step 6: Final answer
    x = 28,957.15

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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.