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Finding the Fourth Proportional to 12,582.63, 17,372.16 and 7,807.68

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Solution

The fourth proportional to 12,582.63, 17,372.16 and 7,807.68 is: 10,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.63 : 17,372.16 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    12,582.63/17,372.16 = 7,807.68/x
  3. Step 3: Cross multiply
    12,582.63x = 17,372.16 × 7,807.68
  4. Step 4: Simplify right side
    12,582.63x = 135,636,266.19
  5. Step 5: Solve for x
    x = 135,636,266.19/12,582.63
  6. Step 6: Final answer
    x = 10,779.64

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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.