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Finding the Fourth Proportional to 2,365.03, 3,547.40 and 978.01

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Solution

The fourth proportional to 2,365.03, 3,547.40 and 978.01 is: 1,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.03 : 3,547.40 = 978.01 : x
  2. Step 2: Convert to fraction form
    2,365.03/3,547.40 = 978.01/x
  3. Step 3: Cross multiply
    2,365.03x = 3,547.40 × 978.01
  4. Step 4: Simplify right side
    2,365.03x = 3,469,378.92
  5. Step 5: Solve for x
    x = 3,469,378.92/2,365.03
  6. Step 6: Final answer
    x = 1,466.95

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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.