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Finding the Fourth Proportional to 12,656.50, 17,459.18 and 9,666.98

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Solution

The fourth proportional to 12,656.50, 17,459.18 and 9,666.98 is: 13,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.50 : 17,459.18 = 9,666.98 : x
  2. Step 2: Convert to fraction form
    12,656.50/17,459.18 = 9,666.98/x
  3. Step 3: Cross multiply
    12,656.50x = 17,459.18 × 9,666.98
  4. Step 4: Simplify right side
    12,656.50x = 168,777,543.88
  5. Step 5: Solve for x
    x = 168,777,543.88/12,656.50
  6. Step 6: Final answer
    x = 13,335.25

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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.