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Finding the Fourth Proportional to 8,784.63, 12,130.89 and 5,646.33

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Solution

The fourth proportional to 8,784.63, 12,130.89 and 5,646.33 is: 7,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.63 : 12,130.89 = 5,646.33 : x
  2. Step 2: Convert to fraction form
    8,784.63/12,130.89 = 5,646.33/x
  3. Step 3: Cross multiply
    8,784.63x = 12,130.89 × 5,646.33
  4. Step 4: Simplify right side
    8,784.63x = 68,495,008.13
  5. Step 5: Solve for x
    x = 68,495,008.13/8,784.63
  6. Step 6: Final answer
    x = 7,797.14

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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.