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Finding the Fourth Proportional to 10,280, 14,186.67 and 5,804.17

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Solution

The fourth proportional to 10,280, 14,186.67 and 5,804.17 is: 8,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280 : 14,186.67 = 5,804.17 : x
  2. Step 2: Convert to fraction form
    10,280/14,186.67 = 5,804.17/x
  3. Step 3: Cross multiply
    10,280x = 14,186.67 × 5,804.17
  4. Step 4: Simplify right side
    10,280x = 82,341,844.41
  5. Step 5: Solve for x
    x = 82,341,844.41/10,280
  6. Step 6: Final answer
    x = 8,009.91

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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.