Home / 10,421.74-14,381.84-5,706

Finding the Fourth Proportional to 10,421.74, 14,381.84 and 5,706

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Solution

The fourth proportional to 10,421.74, 14,381.84 and 5,706 is: 7,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.74 : 14,381.84 = 5,706 : x
  2. Step 2: Convert to fraction form
    10,421.74/14,381.84 = 5,706/x
  3. Step 3: Cross multiply
    10,421.74x = 14,381.84 × 5,706
  4. Step 4: Simplify right side
    10,421.74x = 82,062,779.04
  5. Step 5: Solve for x
    x = 82,062,779.04/10,421.74
  6. Step 6: Final answer
    x = 7,874.19

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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.