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Finding the Fourth Proportional to 1,389.58, 1,915.74 and 1,346.58

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Solution

The fourth proportional to 1,389.58, 1,915.74 and 1,346.58 is: 1,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.58 : 1,915.74 = 1,346.58 : x
  2. Step 2: Convert to fraction form
    1,389.58/1,915.74 = 1,346.58/x
  3. Step 3: Cross multiply
    1,389.58x = 1,915.74 × 1,346.58
  4. Step 4: Simplify right side
    1,389.58x = 2,579,697.17
  5. Step 5: Solve for x
    x = 2,579,697.17/1,389.58
  6. Step 6: Final answer
    x = 1,856.46

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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.