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Finding the Fourth Proportional to 30,905.60, 46,359.68 and 15,335.68

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Solution

The fourth proportional to 30,905.60, 46,359.68 and 15,335.68 is: 23,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.60 : 46,359.68 = 15,335.68 : x
  2. Step 2: Convert to fraction form
    30,905.60/46,359.68 = 15,335.68/x
  3. Step 3: Cross multiply
    30,905.60x = 46,359.68 × 15,335.68
  4. Step 4: Simplify right side
    30,905.60x = 710,957,217.38
  5. Step 5: Solve for x
    x = 710,957,217.38/30,905.60
  6. Step 6: Final answer
    x = 23,004.16

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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.