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Finding the Fourth Proportional to 10,656.90, 14,705.78 and 6,349.76

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Solution

The fourth proportional to 10,656.90, 14,705.78 and 6,349.76 is: 8,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.90 : 14,705.78 = 6,349.76 : x
  2. Step 2: Convert to fraction form
    10,656.90/14,705.78 = 6,349.76/x
  3. Step 3: Cross multiply
    10,656.90x = 14,705.78 × 6,349.76
  4. Step 4: Simplify right side
    10,656.90x = 93,378,173.61
  5. Step 5: Solve for x
    x = 93,378,173.61/10,656.90
  6. Step 6: Final answer
    x = 8,762.23

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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.