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Finding the Fourth Proportional to 7,970.50, 11,871.54 and 7,554.16

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Solution

The fourth proportional to 7,970.50, 11,871.54 and 7,554.16 is: 11,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.50 : 11,871.54 = 7,554.16 : x
  2. Step 2: Convert to fraction form
    7,970.50/11,871.54 = 7,554.16/x
  3. Step 3: Cross multiply
    7,970.50x = 11,871.54 × 7,554.16
  4. Step 4: Simplify right side
    7,970.50x = 89,679,512.61
  5. Step 5: Solve for x
    x = 89,679,512.61/7,970.50
  6. Step 6: Final answer
    x = 11,251.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.