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Finding the Fourth Proportional to 11,420.57, 15,763.02 and 7,434.74

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Solution

The fourth proportional to 11,420.57, 15,763.02 and 7,434.74 is: 10,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.57 : 15,763.02 = 7,434.74 : x
  2. Step 2: Convert to fraction form
    11,420.57/15,763.02 = 7,434.74/x
  3. Step 3: Cross multiply
    11,420.57x = 15,763.02 × 7,434.74
  4. Step 4: Simplify right side
    11,420.57x = 117,193,955.31
  5. Step 5: Solve for x
    x = 117,193,955.31/11,420.57
  6. Step 6: Final answer
    x = 10,261.66

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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.