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Finding the Fourth Proportional to 30,898.32, 46,347.54 and 12,426

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Solution

The fourth proportional to 30,898.32, 46,347.54 and 12,426 is: 18,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.32 : 46,347.54 = 12,426 : x
  2. Step 2: Convert to fraction form
    30,898.32/46,347.54 = 12,426/x
  3. Step 3: Cross multiply
    30,898.32x = 46,347.54 × 12,426
  4. Step 4: Simplify right side
    30,898.32x = 575,914,532.04
  5. Step 5: Solve for x
    x = 575,914,532.04/30,898.32
  6. Step 6: Final answer
    x = 18,639.02

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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.