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Finding the Fourth Proportional to 10,388, 14,346.96 and 6,866.72

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Solution

The fourth proportional to 10,388, 14,346.96 and 6,866.72 is: 9,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388 : 14,346.96 = 6,866.72 : x
  2. Step 2: Convert to fraction form
    10,388/14,346.96 = 6,866.72/x
  3. Step 3: Cross multiply
    10,388x = 14,346.96 × 6,866.72
  4. Step 4: Simplify right side
    10,388x = 98,516,557.17
  5. Step 5: Solve for x
    x = 98,516,557.17/10,388
  6. Step 6: Final answer
    x = 9,483.69

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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.