Home / 10,123.60-15,178.10-6,828.52

Finding the Fourth Proportional to 10,123.60, 15,178.10 and 6,828.52

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Solution

The fourth proportional to 10,123.60, 15,178.10 and 6,828.52 is: 10,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.60 : 15,178.10 = 6,828.52 : x
  2. Step 2: Convert to fraction form
    10,123.60/15,178.10 = 6,828.52/x
  3. Step 3: Cross multiply
    10,123.60x = 15,178.10 × 6,828.52
  4. Step 4: Simplify right side
    10,123.60x = 103,643,959.41
  5. Step 5: Solve for x
    x = 103,643,959.41/10,123.60
  6. Step 6: Final answer
    x = 10,237.86

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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.