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Finding the Fourth Proportional to 1,728.18, 2,592.59 and 947.75

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Solution

The fourth proportional to 1,728.18, 2,592.59 and 947.75 is: 1,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.18 : 2,592.59 = 947.75 : x
  2. Step 2: Convert to fraction form
    1,728.18/2,592.59 = 947.75/x
  3. Step 3: Cross multiply
    1,728.18x = 2,592.59 × 947.75
  4. Step 4: Simplify right side
    1,728.18x = 2,457,127.17
  5. Step 5: Solve for x
    x = 2,457,127.17/1,728.18
  6. Step 6: Final answer
    x = 1,421.80

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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.