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Finding the Fourth Proportional to 12,307.68, 16,979.76 and 7,830.24

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Solution

The fourth proportional to 12,307.68, 16,979.76 and 7,830.24 is: 10,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.68 : 16,979.76 = 7,830.24 : x
  2. Step 2: Convert to fraction form
    12,307.68/16,979.76 = 7,830.24/x
  3. Step 3: Cross multiply
    12,307.68x = 16,979.76 × 7,830.24
  4. Step 4: Simplify right side
    12,307.68x = 132,955,595.94
  5. Step 5: Solve for x
    x = 132,955,595.94/12,307.68
  6. Step 6: Final answer
    x = 10,802.65

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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.