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Finding the Fourth Proportional to 10,607.68, 14,640 and 6,415.12

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Solution

The fourth proportional to 10,607.68, 14,640 and 6,415.12 is: 8,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.68 : 14,640 = 6,415.12 : x
  2. Step 2: Convert to fraction form
    10,607.68/14,640 = 6,415.12/x
  3. Step 3: Cross multiply
    10,607.68x = 14,640 × 6,415.12
  4. Step 4: Simplify right side
    10,607.68x = 93,917,356.80
  5. Step 5: Solve for x
    x = 93,917,356.80/10,607.68
  6. Step 6: Final answer
    x = 8,853.71

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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.