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Finding the Fourth Proportional to 10,527, 15,790.48 and 3,131.40

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Solution

The fourth proportional to 10,527, 15,790.48 and 3,131.40 is: 4,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 15,790.48 = 3,131.40 : x
  2. Step 2: Convert to fraction form
    10,527/15,790.48 = 3,131.40/x
  3. Step 3: Cross multiply
    10,527x = 15,790.48 × 3,131.40
  4. Step 4: Simplify right side
    10,527x = 49,446,309.07
  5. Step 5: Solve for x
    x = 49,446,309.07/10,527
  6. Step 6: Final answer
    x = 4,697.09

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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.