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Finding the Fourth Proportional to 12,897.09, 17,801.14 and 7,864.08

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Solution

The fourth proportional to 12,897.09, 17,801.14 and 7,864.08 is: 10,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.09 : 17,801.14 = 7,864.08 : x
  2. Step 2: Convert to fraction form
    12,897.09/17,801.14 = 7,864.08/x
  3. Step 3: Cross multiply
    12,897.09x = 17,801.14 × 7,864.08
  4. Step 4: Simplify right side
    12,897.09x = 139,989,500.05
  5. Step 5: Solve for x
    x = 139,989,500.05/12,897.09
  6. Step 6: Final answer
    x = 10,854.35

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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.