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Finding the Fourth Proportional to 31,803.52, 43,909.02 and 20,477.20

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Solution

The fourth proportional to 31,803.52, 43,909.02 and 20,477.20 is: 28,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.52 : 43,909.02 = 20,477.20 : x
  2. Step 2: Convert to fraction form
    31,803.52/43,909.02 = 20,477.20/x
  3. Step 3: Cross multiply
    31,803.52x = 43,909.02 × 20,477.20
  4. Step 4: Simplify right side
    31,803.52x = 899,133,784.34
  5. Step 5: Solve for x
    x = 899,133,784.34/31,803.52
  6. Step 6: Final answer
    x = 28,271.52

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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.