Home / 31,400-47,117.28-14,984

Finding the Fourth Proportional to 31,400, 47,117.28 and 14,984

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Solution

The fourth proportional to 31,400, 47,117.28 and 14,984 is: 22,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 47,117.28 = 14,984 : x
  2. Step 2: Convert to fraction form
    31,400/47,117.28 = 14,984/x
  3. Step 3: Cross multiply
    31,400x = 47,117.28 × 14,984
  4. Step 4: Simplify right side
    31,400x = 706,005,323.52
  5. Step 5: Solve for x
    x = 706,005,323.52/31,400
  6. Step 6: Final answer
    x = 22,484.25

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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.