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Finding the Fourth Proportional to 9,921.64, 14,881.82 and 4,657.80

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Solution

The fourth proportional to 9,921.64, 14,881.82 and 4,657.80 is: 6,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.64 : 14,881.82 = 4,657.80 : x
  2. Step 2: Convert to fraction form
    9,921.64/14,881.82 = 4,657.80/x
  3. Step 3: Cross multiply
    9,921.64x = 14,881.82 × 4,657.80
  4. Step 4: Simplify right side
    9,921.64x = 69,316,541.20
  5. Step 5: Solve for x
    x = 69,316,541.20/9,921.64
  6. Step 6: Final answer
    x = 6,986.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.