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Finding the Fourth Proportional to 15,312.19, 21,132.44 and 9,723.19

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Solution

The fourth proportional to 15,312.19, 21,132.44 and 9,723.19 is: 13,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.19 : 21,132.44 = 9,723.19 : x
  2. Step 2: Convert to fraction form
    15,312.19/21,132.44 = 9,723.19/x
  3. Step 3: Cross multiply
    15,312.19x = 21,132.44 × 9,723.19
  4. Step 4: Simplify right side
    15,312.19x = 205,474,664.30
  5. Step 5: Solve for x
    x = 205,474,664.30/15,312.19
  6. Step 6: Final answer
    x = 13,419.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.