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Finding the Fourth Proportional to 14,655.78, 20,224.94 and 7,941.57

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Solution

The fourth proportional to 14,655.78, 20,224.94 and 7,941.57 is: 10,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655.78 : 20,224.94 = 7,941.57 : x
  2. Step 2: Convert to fraction form
    14,655.78/20,224.94 = 7,941.57/x
  3. Step 3: Cross multiply
    14,655.78x = 20,224.94 × 7,941.57
  4. Step 4: Simplify right side
    14,655.78x = 160,617,776.76
  5. Step 5: Solve for x
    x = 160,617,776.76/14,655.78
  6. Step 6: Final answer
    x = 10,959.35

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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.