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Finding the Fourth Proportional to 20,588, 28,411.44 and 11,156.57

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Solution

The fourth proportional to 20,588, 28,411.44 and 11,156.57 is: 15,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588 : 28,411.44 = 11,156.57 : x
  2. Step 2: Convert to fraction form
    20,588/28,411.44 = 11,156.57/x
  3. Step 3: Cross multiply
    20,588x = 28,411.44 × 11,156.57
  4. Step 4: Simplify right side
    20,588x = 316,974,077.10
  5. Step 5: Solve for x
    x = 316,974,077.10/20,588
  6. Step 6: Final answer
    x = 15,396.06

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1.5x scale

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.