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Finding the Fourth Proportional to 12,946.40, 17,866.04 and 8,477.60

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Solution

The fourth proportional to 12,946.40, 17,866.04 and 8,477.60 is: 11,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.40 : 17,866.04 = 8,477.60 : x
  2. Step 2: Convert to fraction form
    12,946.40/17,866.04 = 8,477.60/x
  3. Step 3: Cross multiply
    12,946.40x = 17,866.04 × 8,477.60
  4. Step 4: Simplify right side
    12,946.40x = 151,461,140.70
  5. Step 5: Solve for x
    x = 151,461,140.70/12,946.40
  6. Step 6: Final answer
    x = 11,699.09

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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.