Home / 10,256.20-15,354.42-7,801

Finding the Fourth Proportional to 10,256.20, 15,354.42 and 7,801

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Solution

The fourth proportional to 10,256.20, 15,354.42 and 7,801 is: 11,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.20 : 15,354.42 = 7,801 : x
  2. Step 2: Convert to fraction form
    10,256.20/15,354.42 = 7,801/x
  3. Step 3: Cross multiply
    10,256.20x = 15,354.42 × 7,801
  4. Step 4: Simplify right side
    10,256.20x = 119,779,830.42
  5. Step 5: Solve for x
    x = 119,779,830.42/10,256.20
  6. Step 6: Final answer
    x = 11,678.77

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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.