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Finding the Fourth Proportional to 1,477.09, 2,038.50 and 978.87

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Solution

The fourth proportional to 1,477.09, 2,038.50 and 978.87 is: 1,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.09 : 2,038.50 = 978.87 : x
  2. Step 2: Convert to fraction form
    1,477.09/2,038.50 = 978.87/x
  3. Step 3: Cross multiply
    1,477.09x = 2,038.50 × 978.87
  4. Step 4: Simplify right side
    1,477.09x = 1,995,422.67
  5. Step 5: Solve for x
    x = 1,995,422.67/1,477.09
  6. Step 6: Final answer
    x = 1,350.92

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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.