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Finding the Fourth Proportional to 12,977.95, 17,909.58 and 7,009.63

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Solution

The fourth proportional to 12,977.95, 17,909.58 and 7,009.63 is: 9,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.95 : 17,909.58 = 7,009.63 : x
  2. Step 2: Convert to fraction form
    12,977.95/17,909.58 = 7,009.63/x
  3. Step 3: Cross multiply
    12,977.95x = 17,909.58 × 7,009.63
  4. Step 4: Simplify right side
    12,977.95x = 125,539,529.26
  5. Step 5: Solve for x
    x = 125,539,529.26/12,977.95
  6. Step 6: Final answer
    x = 9,673.29

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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.