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Finding the Fourth Proportional to 1,389.06, 1,915.64 and 922.50

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Solution

The fourth proportional to 1,389.06, 1,915.64 and 922.50 is: 1,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.06 : 1,915.64 = 922.50 : x
  2. Step 2: Convert to fraction form
    1,389.06/1,915.64 = 922.50/x
  3. Step 3: Cross multiply
    1,389.06x = 1,915.64 × 922.50
  4. Step 4: Simplify right side
    1,389.06x = 1,767,177.90
  5. Step 5: Solve for x
    x = 1,767,177.90/1,389.06
  6. Step 6: Final answer
    x = 1,272.21

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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.