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Finding the Fourth Proportional to 10,840.80, 14,959.17 and 6,807

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Solution

The fourth proportional to 10,840.80, 14,959.17 and 6,807 is: 9,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.80 : 14,959.17 = 6,807 : x
  2. Step 2: Convert to fraction form
    10,840.80/14,959.17 = 6,807/x
  3. Step 3: Cross multiply
    10,840.80x = 14,959.17 × 6,807
  4. Step 4: Simplify right side
    10,840.80x = 101,827,070.19
  5. Step 5: Solve for x
    x = 101,827,070.19/10,840.80
  6. Step 6: Final answer
    x = 9,392.95

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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.