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Finding the Fourth Proportional to 31,512.60, 47,271.60 and 10,448.10

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Solution

The fourth proportional to 31,512.60, 47,271.60 and 10,448.10 is: 15,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.60 : 47,271.60 = 10,448.10 : x
  2. Step 2: Convert to fraction form
    31,512.60/47,271.60 = 10,448.10/x
  3. Step 3: Cross multiply
    31,512.60x = 47,271.60 × 10,448.10
  4. Step 4: Simplify right side
    31,512.60x = 493,898,403.96
  5. Step 5: Solve for x
    x = 493,898,403.96/31,512.60
  6. Step 6: Final answer
    x = 15,673.05

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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.