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Finding the Fourth Proportional to 12,509.15, 17,261.93 and 6,842.88

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Solution

The fourth proportional to 12,509.15, 17,261.93 and 6,842.88 is: 9,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.15 : 17,261.93 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    12,509.15/17,261.93 = 6,842.88/x
  3. Step 3: Cross multiply
    12,509.15x = 17,261.93 × 6,842.88
  4. Step 4: Simplify right side
    12,509.15x = 118,121,332.67
  5. Step 5: Solve for x
    x = 118,121,332.67/12,509.15
  6. Step 6: Final answer
    x = 9,442.80

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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.