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Finding the Fourth Proportional to 21,705.66, 32,552.01 and 9,225.63

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Solution

The fourth proportional to 21,705.66, 32,552.01 and 9,225.63 is: 13,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.66 : 32,552.01 = 9,225.63 : x
  2. Step 2: Convert to fraction form
    21,705.66/32,552.01 = 9,225.63/x
  3. Step 3: Cross multiply
    21,705.66x = 32,552.01 × 9,225.63
  4. Step 4: Simplify right side
    21,705.66x = 300,312,800.02
  5. Step 5: Solve for x
    x = 300,312,800.02/21,705.66
  6. Step 6: Final answer
    x = 13,835.69

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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.