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Finding the Fourth Proportional to 10,280, 14,186.40 and 5,564.32

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Solution

The fourth proportional to 10,280, 14,186.40 and 5,564.32 is: 7,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280 : 14,186.40 = 5,564.32 : x
  2. Step 2: Convert to fraction form
    10,280/14,186.40 = 5,564.32/x
  3. Step 3: Cross multiply
    10,280x = 14,186.40 × 5,564.32
  4. Step 4: Simplify right side
    10,280x = 78,937,669.25
  5. Step 5: Solve for x
    x = 78,937,669.25/10,280
  6. Step 6: Final answer
    x = 7,678.76

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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.