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Finding the Fourth Proportional to 5,312.92, 7,969.76 and 1,615.46

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Solution

The fourth proportional to 5,312.92, 7,969.76 and 1,615.46 is: 2,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.92 : 7,969.76 = 1,615.46 : x
  2. Step 2: Convert to fraction form
    5,312.92/7,969.76 = 1,615.46/x
  3. Step 3: Cross multiply
    5,312.92x = 7,969.76 × 1,615.46
  4. Step 4: Simplify right side
    5,312.92x = 12,874,828.49
  5. Step 5: Solve for x
    x = 12,874,828.49/5,312.92
  6. Step 6: Final answer
    x = 2,423.31

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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.