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Finding the Fourth Proportional to 12,957.90, 17,881.50 and 7,292.94

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Solution

The fourth proportional to 12,957.90, 17,881.50 and 7,292.94 is: 10,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.90 : 17,881.50 = 7,292.94 : x
  2. Step 2: Convert to fraction form
    12,957.90/17,881.50 = 7,292.94/x
  3. Step 3: Cross multiply
    12,957.90x = 17,881.50 × 7,292.94
  4. Step 4: Simplify right side
    12,957.90x = 130,408,706.61
  5. Step 5: Solve for x
    x = 130,408,706.61/12,957.90
  6. Step 6: Final answer
    x = 10,064.03

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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.