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Finding the Fourth Proportional to 9,409.61, 12,985.61 and 5,160.41

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Solution

The fourth proportional to 9,409.61, 12,985.61 and 5,160.41 is: 7,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.61 : 12,985.61 = 5,160.41 : x
  2. Step 2: Convert to fraction form
    9,409.61/12,985.61 = 5,160.41/x
  3. Step 3: Cross multiply
    9,409.61x = 12,985.61 × 5,160.41
  4. Step 4: Simplify right side
    9,409.61x = 67,010,980.97
  5. Step 5: Solve for x
    x = 67,010,980.97/9,409.61
  6. Step 6: Final answer
    x = 7,121.55

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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.