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Finding the Fourth Proportional to 13,953.86, 19,256.29 and 7,985.64

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Solution

The fourth proportional to 13,953.86, 19,256.29 and 7,985.64 is: 11,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.86 : 19,256.29 = 7,985.64 : x
  2. Step 2: Convert to fraction form
    13,953.86/19,256.29 = 7,985.64/x
  3. Step 3: Cross multiply
    13,953.86x = 19,256.29 × 7,985.64
  4. Step 4: Simplify right side
    13,953.86x = 153,773,799.68
  5. Step 5: Solve for x
    x = 153,773,799.68/13,953.86
  6. Step 6: Final answer
    x = 11,020.16

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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.