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Finding the Fourth Proportional to 15,811.07, 23,705.08 and 9,138.16

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Solution

The fourth proportional to 15,811.07, 23,705.08 and 9,138.16 is: 13,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.07 : 23,705.08 = 9,138.16 : x
  2. Step 2: Convert to fraction form
    15,811.07/23,705.08 = 9,138.16/x
  3. Step 3: Cross multiply
    15,811.07x = 23,705.08 × 9,138.16
  4. Step 4: Simplify right side
    15,811.07x = 216,620,731.74
  5. Step 5: Solve for x
    x = 216,620,731.74/15,811.07
  6. Step 6: Final answer
    x = 13,700.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.