Home / 13,827.84-20,730-6,436.58

Finding the Fourth Proportional to 13,827.84, 20,730 and 6,436.58

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Solution

The fourth proportional to 13,827.84, 20,730 and 6,436.58 is: 9,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.84 : 20,730 = 6,436.58 : x
  2. Step 2: Convert to fraction form
    13,827.84/20,730 = 6,436.58/x
  3. Step 3: Cross multiply
    13,827.84x = 20,730 × 6,436.58
  4. Step 4: Simplify right side
    13,827.84x = 133,430,303.40
  5. Step 5: Solve for x
    x = 133,430,303.40/13,827.84
  6. Step 6: Final answer
    x = 9,649.40

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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.