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Finding the Fourth Proportional to 12,685.60, 17,506.14 and 7,020.58

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Solution

The fourth proportional to 12,685.60, 17,506.14 and 7,020.58 is: 9,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.60 : 17,506.14 = 7,020.58 : x
  2. Step 2: Convert to fraction form
    12,685.60/17,506.14 = 7,020.58/x
  3. Step 3: Cross multiply
    12,685.60x = 17,506.14 × 7,020.58
  4. Step 4: Simplify right side
    12,685.60x = 122,903,256.36
  5. Step 5: Solve for x
    x = 122,903,256.36/12,685.60
  6. Step 6: Final answer
    x = 9,688.41

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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.