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Finding the Fourth Proportional to 15,756.51, 21,741.98 and 9,042.42

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Solution

The fourth proportional to 15,756.51, 21,741.98 and 9,042.42 is: 12,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.51 : 21,741.98 = 9,042.42 : x
  2. Step 2: Convert to fraction form
    15,756.51/21,741.98 = 9,042.42/x
  3. Step 3: Cross multiply
    15,756.51x = 21,741.98 × 9,042.42
  4. Step 4: Simplify right side
    15,756.51x = 196,600,069.58
  5. Step 5: Solve for x
    x = 196,600,069.58/15,756.51
  6. Step 6: Final answer
    x = 12,477.39

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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.