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Finding the Fourth Proportional to 5,312.34, 7,966.80 and 1,934.64

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Solution

The fourth proportional to 5,312.34, 7,966.80 and 1,934.64 is: 2,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.34 : 7,966.80 = 1,934.64 : x
  2. Step 2: Convert to fraction form
    5,312.34/7,966.80 = 1,934.64/x
  3. Step 3: Cross multiply
    5,312.34x = 7,966.80 × 1,934.64
  4. Step 4: Simplify right side
    5,312.34x = 15,412,889.95
  5. Step 5: Solve for x
    x = 15,412,889.95/5,312.34
  6. Step 6: Final answer
    x = 2,901.34

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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.