Home / 10,306.08-14,221.50-5,830

Finding the Fourth Proportional to 10,306.08, 14,221.50 and 5,830

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Solution

The fourth proportional to 10,306.08, 14,221.50 and 5,830 is: 8,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.08 : 14,221.50 = 5,830 : x
  2. Step 2: Convert to fraction form
    10,306.08/14,221.50 = 5,830/x
  3. Step 3: Cross multiply
    10,306.08x = 14,221.50 × 5,830
  4. Step 4: Simplify right side
    10,306.08x = 82,911,345
  5. Step 5: Solve for x
    x = 82,911,345/10,306.08
  6. Step 6: Final answer
    x = 8,044.90

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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.