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Finding the Fourth Proportional to 9,687.20, 14,590.63 and 9,220.64

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Solution

The fourth proportional to 9,687.20, 14,590.63 and 9,220.64 is: 13,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.20 : 14,590.63 = 9,220.64 : x
  2. Step 2: Convert to fraction form
    9,687.20/14,590.63 = 9,220.64/x
  3. Step 3: Cross multiply
    9,687.20x = 14,590.63 × 9,220.64
  4. Step 4: Simplify right side
    9,687.20x = 134,534,885.18
  5. Step 5: Solve for x
    x = 134,534,885.18/9,687.20
  6. Step 6: Final answer
    x = 13,887.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.