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Finding the Fourth Proportional to 6,851.60, 9,470.76 and 6,307.28

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Solution

The fourth proportional to 6,851.60, 9,470.76 and 6,307.28 is: 8,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.60 : 9,470.76 = 6,307.28 : x
  2. Step 2: Convert to fraction form
    6,851.60/9,470.76 = 6,307.28/x
  3. Step 3: Cross multiply
    6,851.60x = 9,470.76 × 6,307.28
  4. Step 4: Simplify right side
    6,851.60x = 59,734,735.13
  5. Step 5: Solve for x
    x = 59,734,735.13/6,851.60
  6. Step 6: Final answer
    x = 8,718.36

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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.