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Finding the Fourth Proportional to 30,708.60, 46,047.78 and 9,929.40

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Solution

The fourth proportional to 30,708.60, 46,047.78 and 9,929.40 is: 14,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.60 : 46,047.78 = 9,929.40 : x
  2. Step 2: Convert to fraction form
    30,708.60/46,047.78 = 9,929.40/x
  3. Step 3: Cross multiply
    30,708.60x = 46,047.78 × 9,929.40
  4. Step 4: Simplify right side
    30,708.60x = 457,226,826.73
  5. Step 5: Solve for x
    x = 457,226,826.73/30,708.60
  6. Step 6: Final answer
    x = 14,889.21

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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.