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Finding the Fourth Proportional to 10,007.76, 14,980.08 and 6,869.40

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Solution

The fourth proportional to 10,007.76, 14,980.08 and 6,869.40 is: 10,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.76 : 14,980.08 = 6,869.40 : x
  2. Step 2: Convert to fraction form
    10,007.76/14,980.08 = 6,869.40/x
  3. Step 3: Cross multiply
    10,007.76x = 14,980.08 × 6,869.40
  4. Step 4: Simplify right side
    10,007.76x = 102,904,161.55
  5. Step 5: Solve for x
    x = 102,904,161.55/10,007.76
  6. Step 6: Final answer
    x = 10,282.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.