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Finding the Fourth Proportional to 12,762.40, 17,611.75 and 7,097.06

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Solution

The fourth proportional to 12,762.40, 17,611.75 and 7,097.06 is: 9,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.40 : 17,611.75 = 7,097.06 : x
  2. Step 2: Convert to fraction form
    12,762.40/17,611.75 = 7,097.06/x
  3. Step 3: Cross multiply
    12,762.40x = 17,611.75 × 7,097.06
  4. Step 4: Simplify right side
    12,762.40x = 124,991,646.46
  5. Step 5: Solve for x
    x = 124,991,646.46/12,762.40
  6. Step 6: Final answer
    x = 9,793.74

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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.