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Finding the Fourth Proportional to 9,102.95, 12,561.80 and 5,124.27

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Solution

The fourth proportional to 9,102.95, 12,561.80 and 5,124.27 is: 7,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.95 : 12,561.80 = 5,124.27 : x
  2. Step 2: Convert to fraction form
    9,102.95/12,561.80 = 5,124.27/x
  3. Step 3: Cross multiply
    9,102.95x = 12,561.80 × 5,124.27
  4. Step 4: Simplify right side
    9,102.95x = 64,370,029.26
  5. Step 5: Solve for x
    x = 64,370,029.26/9,102.95
  6. Step 6: Final answer
    x = 7,071.34

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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.