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Finding the Fourth Proportional to 12,887.76, 17,784.75 and 7,582.89

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Solution

The fourth proportional to 12,887.76, 17,784.75 and 7,582.89 is: 10,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.76 : 17,784.75 = 7,582.89 : x
  2. Step 2: Convert to fraction form
    12,887.76/17,784.75 = 7,582.89/x
  3. Step 3: Cross multiply
    12,887.76x = 17,784.75 × 7,582.89
  4. Step 4: Simplify right side
    12,887.76x = 134,859,802.93
  5. Step 5: Solve for x
    x = 134,859,802.93/12,887.76
  6. Step 6: Final answer
    x = 10,464.18

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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.