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Finding the Fourth Proportional to 13,957.40, 19,262.40 and 7,671.08

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Solution

The fourth proportional to 13,957.40, 19,262.40 and 7,671.08 is: 10,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.40 : 19,262.40 = 7,671.08 : x
  2. Step 2: Convert to fraction form
    13,957.40/19,262.40 = 7,671.08/x
  3. Step 3: Cross multiply
    13,957.40x = 19,262.40 × 7,671.08
  4. Step 4: Simplify right side
    13,957.40x = 147,763,430.78
  5. Step 5: Solve for x
    x = 147,763,430.78/13,957.40
  6. Step 6: Final answer
    x = 10,586.74

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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.