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Finding the Fourth Proportional to 1,292.76, 1,937.52 and 860.22

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Solution

The fourth proportional to 1,292.76, 1,937.52 and 860.22 is: 1,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.76 : 1,937.52 = 860.22 : x
  2. Step 2: Convert to fraction form
    1,292.76/1,937.52 = 860.22/x
  3. Step 3: Cross multiply
    1,292.76x = 1,937.52 × 860.22
  4. Step 4: Simplify right side
    1,292.76x = 1,666,693.45
  5. Step 5: Solve for x
    x = 1,666,693.45/1,292.76
  6. Step 6: Final answer
    x = 1,289.25

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1.5x scale

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.