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Finding the Fourth Proportional to 9,785.88, 13,500.99 and 6,430.50

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Solution

The fourth proportional to 9,785.88, 13,500.99 and 6,430.50 is: 8,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.88 : 13,500.99 = 6,430.50 : x
  2. Step 2: Convert to fraction form
    9,785.88/13,500.99 = 6,430.50/x
  3. Step 3: Cross multiply
    9,785.88x = 13,500.99 × 6,430.50
  4. Step 4: Simplify right side
    9,785.88x = 86,818,116.20
  5. Step 5: Solve for x
    x = 86,818,116.20/9,785.88
  6. Step 6: Final answer
    x = 8,871.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.