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Finding the Fourth Proportional to 31,721, 47,579.70 and 9,533.93

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Solution

The fourth proportional to 31,721, 47,579.70 and 9,533.93 is: 14,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721 : 47,579.70 = 9,533.93 : x
  2. Step 2: Convert to fraction form
    31,721/47,579.70 = 9,533.93/x
  3. Step 3: Cross multiply
    31,721x = 47,579.70 × 9,533.93
  4. Step 4: Simplify right side
    31,721x = 453,621,529.22
  5. Step 5: Solve for x
    x = 453,621,529.22/31,721
  6. Step 6: Final answer
    x = 14,300.35

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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.