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Finding the Fourth Proportional to 31,901.76, 47,810.96 and 19,888.96

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Solution

The fourth proportional to 31,901.76, 47,810.96 and 19,888.96 is: 29,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.76 : 47,810.96 = 19,888.96 : x
  2. Step 2: Convert to fraction form
    31,901.76/47,810.96 = 19,888.96/x
  3. Step 3: Cross multiply
    31,901.76x = 47,810.96 × 19,888.96
  4. Step 4: Simplify right side
    31,901.76x = 950,910,271.00
  5. Step 5: Solve for x
    x = 950,910,271.00/31,901.76
  6. Step 6: Final answer
    x = 29,807.45

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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.