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Finding the Fourth Proportional to 7,124.16, 10,686.48 and 1,930.16

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Solution

The fourth proportional to 7,124.16, 10,686.48 and 1,930.16 is: 2,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.16 : 10,686.48 = 1,930.16 : x
  2. Step 2: Convert to fraction form
    7,124.16/10,686.48 = 1,930.16/x
  3. Step 3: Cross multiply
    7,124.16x = 10,686.48 × 1,930.16
  4. Step 4: Simplify right side
    7,124.16x = 20,626,616.24
  5. Step 5: Solve for x
    x = 20,626,616.24/7,124.16
  6. Step 6: Final answer
    x = 2,895.31

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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.