Home / 21,414.24-32,130-9,715.68

Finding the Fourth Proportional to 21,414.24, 32,130 and 9,715.68

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Solution

The fourth proportional to 21,414.24, 32,130 and 9,715.68 is: 14,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.24 : 32,130 = 9,715.68 : x
  2. Step 2: Convert to fraction form
    21,414.24/32,130 = 9,715.68/x
  3. Step 3: Cross multiply
    21,414.24x = 32,130 × 9,715.68
  4. Step 4: Simplify right side
    21,414.24x = 312,164,798.40
  5. Step 5: Solve for x
    x = 312,164,798.40/21,414.24
  6. Step 6: Final answer
    x = 14,577.44

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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.