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Finding the Fourth Proportional to 8,640.14, 12,897.12 and 7,415.42

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Solution

The fourth proportional to 8,640.14, 12,897.12 and 7,415.42 is: 11,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.14 : 12,897.12 = 7,415.42 : x
  2. Step 2: Convert to fraction form
    8,640.14/12,897.12 = 7,415.42/x
  3. Step 3: Cross multiply
    8,640.14x = 12,897.12 × 7,415.42
  4. Step 4: Simplify right side
    8,640.14x = 95,637,524.51
  5. Step 5: Solve for x
    x = 95,637,524.51/8,640.14
  6. Step 6: Final answer
    x = 11,068.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.