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Finding the Fourth Proportional to 20,549.40, 30,823.47 and 7,410.30

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Solution

The fourth proportional to 20,549.40, 30,823.47 and 7,410.30 is: 11,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.40 : 30,823.47 = 7,410.30 : x
  2. Step 2: Convert to fraction form
    20,549.40/30,823.47 = 7,410.30/x
  3. Step 3: Cross multiply
    20,549.40x = 30,823.47 × 7,410.30
  4. Step 4: Simplify right side
    20,549.40x = 228,411,159.74
  5. Step 5: Solve for x
    x = 228,411,159.74/20,549.40
  6. Step 6: Final answer
    x = 11,115.22

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1.5x scale

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.