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Finding the Fourth Proportional to 31,904.99, 47,864.62 and 9,720.10

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Solution

The fourth proportional to 31,904.99, 47,864.62 and 9,720.10 is: 14,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.99 : 47,864.62 = 9,720.10 : x
  2. Step 2: Convert to fraction form
    31,904.99/47,864.62 = 9,720.10/x
  3. Step 3: Cross multiply
    31,904.99x = 47,864.62 × 9,720.10
  4. Step 4: Simplify right side
    31,904.99x = 465,248,964.84
  5. Step 5: Solve for x
    x = 465,248,964.84/31,904.99
  6. Step 6: Final answer
    x = 14,582.33

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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.