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Finding the Fourth Proportional to 2,925.97, 4,389.66 and 978.32

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Solution

The fourth proportional to 2,925.97, 4,389.66 and 978.32 is: 1,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.97 : 4,389.66 = 978.32 : x
  2. Step 2: Convert to fraction form
    2,925.97/4,389.66 = 978.32/x
  3. Step 3: Cross multiply
    2,925.97x = 4,389.66 × 978.32
  4. Step 4: Simplify right side
    2,925.97x = 4,294,492.17
  5. Step 5: Solve for x
    x = 4,294,492.17/2,925.97
  6. Step 6: Final answer
    x = 1,467.72

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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.