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Finding the Fourth Proportional to 9,878.36, 14,801.08 and 6,950.51

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Solution

The fourth proportional to 9,878.36, 14,801.08 and 6,950.51 is: 10,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.36 : 14,801.08 = 6,950.51 : x
  2. Step 2: Convert to fraction form
    9,878.36/14,801.08 = 6,950.51/x
  3. Step 3: Cross multiply
    9,878.36x = 14,801.08 × 6,950.51
  4. Step 4: Simplify right side
    9,878.36x = 102,875,031.71
  5. Step 5: Solve for x
    x = 102,875,031.71/9,878.36
  6. Step 6: Final answer
    x = 10,414.19

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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.