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Finding the Fourth Proportional to 9,978.64, 14,967.96 and 4,430.68

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Solution

The fourth proportional to 9,978.64, 14,967.96 and 4,430.68 is: 6,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.64 : 14,967.96 = 4,430.68 : x
  2. Step 2: Convert to fraction form
    9,978.64/14,967.96 = 4,430.68/x
  3. Step 3: Cross multiply
    9,978.64x = 14,967.96 × 4,430.68
  4. Step 4: Simplify right side
    9,978.64x = 66,318,241.01
  5. Step 5: Solve for x
    x = 66,318,241.01/9,978.64
  6. Step 6: Final answer
    x = 6,646.02

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1.5x scale

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.