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Finding the Fourth Proportional to 20,782.16, 31,168.08 and 9,678.32

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Solution

The fourth proportional to 20,782.16, 31,168.08 and 9,678.32 is: 14,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.16 : 31,168.08 = 9,678.32 : x
  2. Step 2: Convert to fraction form
    20,782.16/31,168.08 = 9,678.32/x
  3. Step 3: Cross multiply
    20,782.16x = 31,168.08 × 9,678.32
  4. Step 4: Simplify right side
    20,782.16x = 301,654,652.03
  5. Step 5: Solve for x
    x = 301,654,652.03/20,782.16
  6. Step 6: Final answer
    x = 14,515.08

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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.