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Finding the Fourth Proportional to 22,810.60, 31,478.78 and 12,739.16

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Solution

The fourth proportional to 22,810.60, 31,478.78 and 12,739.16 is: 17,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.60 : 31,478.78 = 12,739.16 : x
  2. Step 2: Convert to fraction form
    22,810.60/31,478.78 = 12,739.16/x
  3. Step 3: Cross multiply
    22,810.60x = 31,478.78 × 12,739.16
  4. Step 4: Simplify right side
    22,810.60x = 401,013,215.02
  5. Step 5: Solve for x
    x = 401,013,215.02/22,810.60
  6. Step 6: Final answer
    x = 17,580.13

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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.