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Finding the Fourth Proportional to 1,567.24, 2,163.30 and 978.76

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Solution

The fourth proportional to 1,567.24, 2,163.30 and 978.76 is: 1,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.24 : 2,163.30 = 978.76 : x
  2. Step 2: Convert to fraction form
    1,567.24/2,163.30 = 978.76/x
  3. Step 3: Cross multiply
    1,567.24x = 2,163.30 × 978.76
  4. Step 4: Simplify right side
    1,567.24x = 2,117,351.51
  5. Step 5: Solve for x
    x = 2,117,351.51/1,567.24
  6. Step 6: Final answer
    x = 1,351.01

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1.5x scale

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.