Home / 20,983-31,432.29-9,722.56

Finding the Fourth Proportional to 20,983, 31,432.29 and 9,722.56

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Solution

The fourth proportional to 20,983, 31,432.29 and 9,722.56 is: 14,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983 : 31,432.29 = 9,722.56 : x
  2. Step 2: Convert to fraction form
    20,983/31,432.29 = 9,722.56/x
  3. Step 3: Cross multiply
    20,983x = 31,432.29 × 9,722.56
  4. Step 4: Simplify right side
    20,983x = 305,602,325.46
  5. Step 5: Solve for x
    x = 305,602,325.46/20,983
  6. Step 6: Final answer
    x = 14,564.28

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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.