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Finding the Fourth Proportional to 21,507.64, 32,257.74 and 9,818.12

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Solution

The fourth proportional to 21,507.64, 32,257.74 and 9,818.12 is: 14,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.64 : 32,257.74 = 9,818.12 : x
  2. Step 2: Convert to fraction form
    21,507.64/32,257.74 = 9,818.12/x
  3. Step 3: Cross multiply
    21,507.64x = 32,257.74 × 9,818.12
  4. Step 4: Simplify right side
    21,507.64x = 316,710,362.25
  5. Step 5: Solve for x
    x = 316,710,362.25/21,507.64
  6. Step 6: Final answer
    x = 14,725.48

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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.