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Finding the Fourth Proportional to 21,303.60, 31,960.20 and 6,513.20

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Solution

The fourth proportional to 21,303.60, 31,960.20 and 6,513.20 is: 9,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.60 : 31,960.20 = 6,513.20 : x
  2. Step 2: Convert to fraction form
    21,303.60/31,960.20 = 6,513.20/x
  3. Step 3: Cross multiply
    21,303.60x = 31,960.20 × 6,513.20
  4. Step 4: Simplify right side
    21,303.60x = 208,163,174.64
  5. Step 5: Solve for x
    x = 208,163,174.64/21,303.60
  6. Step 6: Final answer
    x = 9,771.27

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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.