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Finding the Fourth Proportional to 12,298.76, 16,970 and 6,919.64

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Solution

The fourth proportional to 12,298.76, 16,970 and 6,919.64 is: 9,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.76 : 16,970 = 6,919.64 : x
  2. Step 2: Convert to fraction form
    12,298.76/16,970 = 6,919.64/x
  3. Step 3: Cross multiply
    12,298.76x = 16,970 × 6,919.64
  4. Step 4: Simplify right side
    12,298.76x = 117,426,290.80
  5. Step 5: Solve for x
    x = 117,426,290.80/12,298.76
  6. Step 6: Final answer
    x = 9,547.82

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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.