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Finding the Fourth Proportional to 1,710.92, 2,562.26 and 978.28

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Solution

The fourth proportional to 1,710.92, 2,562.26 and 978.28 is: 1,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.92 : 2,562.26 = 978.28 : x
  2. Step 2: Convert to fraction form
    1,710.92/2,562.26 = 978.28/x
  3. Step 3: Cross multiply
    1,710.92x = 2,562.26 × 978.28
  4. Step 4: Simplify right side
    1,710.92x = 2,506,607.71
  5. Step 5: Solve for x
    x = 2,506,607.71/1,710.92
  6. Step 6: Final answer
    x = 1,465.06

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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.