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Finding the Fourth Proportional to 7,865.50, 10,854.12 and 4,328.50

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Solution

The fourth proportional to 7,865.50, 10,854.12 and 4,328.50 is: 5,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.50 : 10,854.12 = 4,328.50 : x
  2. Step 2: Convert to fraction form
    7,865.50/10,854.12 = 4,328.50/x
  3. Step 3: Cross multiply
    7,865.50x = 10,854.12 × 4,328.50
  4. Step 4: Simplify right side
    7,865.50x = 46,982,058.42
  5. Step 5: Solve for x
    x = 46,982,058.42/7,865.50
  6. Step 6: Final answer
    x = 5,973.18

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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.