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Finding the Fourth Proportional to 15,580.77, 21,503 and 9,209.46

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Solution

The fourth proportional to 15,580.77, 21,503 and 9,209.46 is: 12,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.77 : 21,503 = 9,209.46 : x
  2. Step 2: Convert to fraction form
    15,580.77/21,503 = 9,209.46/x
  3. Step 3: Cross multiply
    15,580.77x = 21,503 × 9,209.46
  4. Step 4: Simplify right side
    15,580.77x = 198,031,018.38
  5. Step 5: Solve for x
    x = 198,031,018.38/15,580.77
  6. Step 6: Final answer
    x = 12,709.96

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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.