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Finding the Fourth Proportional to 21,647.76, 32,459.94 and 7,604.16

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Solution

The fourth proportional to 21,647.76, 32,459.94 and 7,604.16 is: 11,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.76 : 32,459.94 = 7,604.16 : x
  2. Step 2: Convert to fraction form
    21,647.76/32,459.94 = 7,604.16/x
  3. Step 3: Cross multiply
    21,647.76x = 32,459.94 × 7,604.16
  4. Step 4: Simplify right side
    21,647.76x = 246,830,577.35
  5. Step 5: Solve for x
    x = 246,830,577.35/21,647.76
  6. Step 6: Final answer
    x = 11,402.13

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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.