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Finding the Fourth Proportional to 19,355.40, 29,032.95 and 5,315.40

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Solution

The fourth proportional to 19,355.40, 29,032.95 and 5,315.40 is: 7,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,355.40 : 29,032.95 = 5,315.40 : x
  2. Step 2: Convert to fraction form
    19,355.40/29,032.95 = 5,315.40/x
  3. Step 3: Cross multiply
    19,355.40x = 29,032.95 × 5,315.40
  4. Step 4: Simplify right side
    19,355.40x = 154,321,742.43
  5. Step 5: Solve for x
    x = 154,321,742.43/19,355.40
  6. Step 6: Final answer
    x = 7,973.06

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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.