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Finding the Fourth Proportional to 11,315.76, 15,615.60 and 6,280

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Solution

The fourth proportional to 11,315.76, 15,615.60 and 6,280 is: 8,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.76 : 15,615.60 = 6,280 : x
  2. Step 2: Convert to fraction form
    11,315.76/15,615.60 = 6,280/x
  3. Step 3: Cross multiply
    11,315.76x = 15,615.60 × 6,280
  4. Step 4: Simplify right side
    11,315.76x = 98,065,968
  5. Step 5: Solve for x
    x = 98,065,968/11,315.76
  6. Step 6: Final answer
    x = 8,666.32

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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.