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Finding the Fourth Proportional to 19,777.64, 29,663.01 and 9,248.63

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Solution

The fourth proportional to 19,777.64, 29,663.01 and 9,248.63 is: 13,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.64 : 29,663.01 = 9,248.63 : x
  2. Step 2: Convert to fraction form
    19,777.64/29,663.01 = 9,248.63/x
  3. Step 3: Cross multiply
    19,777.64x = 29,663.01 × 9,248.63
  4. Step 4: Simplify right side
    19,777.64x = 274,342,055.86
  5. Step 5: Solve for x
    x = 274,342,055.86/19,777.64
  6. Step 6: Final answer
    x = 13,871.33

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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.