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Finding the Fourth Proportional to 12,756.78, 17,569.14 and 10,987.74

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Solution

The fourth proportional to 12,756.78, 17,569.14 and 10,987.74 is: 15,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.78 : 17,569.14 = 10,987.74 : x
  2. Step 2: Convert to fraction form
    12,756.78/17,569.14 = 10,987.74/x
  3. Step 3: Cross multiply
    12,756.78x = 17,569.14 × 10,987.74
  4. Step 4: Simplify right side
    12,756.78x = 193,045,142.34
  5. Step 5: Solve for x
    x = 193,045,142.34/12,756.78
  6. Step 6: Final answer
    x = 15,132.75

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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.