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Finding the Fourth Proportional to 10,122.95, 13,970.88 and 5,931.20

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Solution

The fourth proportional to 10,122.95, 13,970.88 and 5,931.20 is: 8,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.95 : 13,970.88 = 5,931.20 : x
  2. Step 2: Convert to fraction form
    10,122.95/13,970.88 = 5,931.20/x
  3. Step 3: Cross multiply
    10,122.95x = 13,970.88 × 5,931.20
  4. Step 4: Simplify right side
    10,122.95x = 82,864,013.60
  5. Step 5: Solve for x
    x = 82,864,013.60/10,122.95
  6. Step 6: Final answer
    x = 8,185.76

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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.