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Finding the Fourth Proportional to 31,505.84, 43,477.80 and 17,358.20

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Solution

The fourth proportional to 31,505.84, 43,477.80 and 17,358.20 is: 23,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.84 : 43,477.80 = 17,358.20 : x
  2. Step 2: Convert to fraction form
    31,505.84/43,477.80 = 17,358.20/x
  3. Step 3: Cross multiply
    31,505.84x = 43,477.80 × 17,358.20
  4. Step 4: Simplify right side
    31,505.84x = 754,696,347.96
  5. Step 5: Solve for x
    x = 754,696,347.96/31,505.84
  6. Step 6: Final answer
    x = 23,954.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.