Home / 10,742-14,826.52-6,553.76

Finding the Fourth Proportional to 10,742, 14,826.52 and 6,553.76

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Solution

The fourth proportional to 10,742, 14,826.52 and 6,553.76 is: 9,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742 : 14,826.52 = 6,553.76 : x
  2. Step 2: Convert to fraction form
    10,742/14,826.52 = 6,553.76/x
  3. Step 3: Cross multiply
    10,742x = 14,826.52 × 6,553.76
  4. Step 4: Simplify right side
    10,742x = 97,169,453.72
  5. Step 5: Solve for x
    x = 97,169,453.72/10,742
  6. Step 6: Final answer
    x = 9,045.75

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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.