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Finding the Fourth Proportional to 9,782.76, 13,502.40 and 7,654.08

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Solution

The fourth proportional to 9,782.76, 13,502.40 and 7,654.08 is: 10,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.76 : 13,502.40 = 7,654.08 : x
  2. Step 2: Convert to fraction form
    9,782.76/13,502.40 = 7,654.08/x
  3. Step 3: Cross multiply
    9,782.76x = 13,502.40 × 7,654.08
  4. Step 4: Simplify right side
    9,782.76x = 103,348,449.79
  5. Step 5: Solve for x
    x = 103,348,449.79/9,782.76
  6. Step 6: Final answer
    x = 10,564.34

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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.