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Finding the Fourth Proportional to 5,261.52, 7,275.06 and 5,178.36

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Solution

The fourth proportional to 5,261.52, 7,275.06 and 5,178.36 is: 7,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.52 : 7,275.06 = 5,178.36 : x
  2. Step 2: Convert to fraction form
    5,261.52/7,275.06 = 5,178.36/x
  3. Step 3: Cross multiply
    5,261.52x = 7,275.06 × 5,178.36
  4. Step 4: Simplify right side
    5,261.52x = 37,672,879.70
  5. Step 5: Solve for x
    x = 37,672,879.70/5,261.52
  6. Step 6: Final answer
    x = 7,160.08

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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.