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Finding the Fourth Proportional to 10,614.78, 14,646.78 and 6,365.76

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Solution

The fourth proportional to 10,614.78, 14,646.78 and 6,365.76 is: 8,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.78 : 14,646.78 = 6,365.76 : x
  2. Step 2: Convert to fraction form
    10,614.78/14,646.78 = 6,365.76/x
  3. Step 3: Cross multiply
    10,614.78x = 14,646.78 × 6,365.76
  4. Step 4: Simplify right side
    10,614.78x = 93,237,886.25
  5. Step 5: Solve for x
    x = 93,237,886.25/10,614.78
  6. Step 6: Final answer
    x = 8,783.78

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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.