Home / 12,135.40-16,746.14-6,830

Finding the Fourth Proportional to 12,135.40, 16,746.14 and 6,830

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Solution

The fourth proportional to 12,135.40, 16,746.14 and 6,830 is: 9,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.40 : 16,746.14 = 6,830 : x
  2. Step 2: Convert to fraction form
    12,135.40/16,746.14 = 6,830/x
  3. Step 3: Cross multiply
    12,135.40x = 16,746.14 × 6,830
  4. Step 4: Simplify right side
    12,135.40x = 114,376,136.20
  5. Step 5: Solve for x
    x = 114,376,136.20/12,135.40
  6. Step 6: Final answer
    x = 9,425.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.