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Finding the Fourth Proportional to 10,970.88, 15,139.88 and 6,255.12

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Solution

The fourth proportional to 10,970.88, 15,139.88 and 6,255.12 is: 8,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.88 : 15,139.88 = 6,255.12 : x
  2. Step 2: Convert to fraction form
    10,970.88/15,139.88 = 6,255.12/x
  3. Step 3: Cross multiply
    10,970.88x = 15,139.88 × 6,255.12
  4. Step 4: Simplify right side
    10,970.88x = 94,701,766.19
  5. Step 5: Solve for x
    x = 94,701,766.19/10,970.88
  6. Step 6: Final answer
    x = 8,632.10

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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.