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Finding the Fourth Proportional to 15,842.80, 21,868.53 and 9,131.10

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Solution

The fourth proportional to 15,842.80, 21,868.53 and 9,131.10 is: 12,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.80 : 21,868.53 = 9,131.10 : x
  2. Step 2: Convert to fraction form
    15,842.80/21,868.53 = 9,131.10/x
  3. Step 3: Cross multiply
    15,842.80x = 21,868.53 × 9,131.10
  4. Step 4: Simplify right side
    15,842.80x = 199,683,688.63
  5. Step 5: Solve for x
    x = 199,683,688.63/15,842.80
  6. Step 6: Final answer
    x = 12,604.07

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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.