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Finding the Fourth Proportional to 9,686.76, 13,368.68 and 5,709.16

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Solution

The fourth proportional to 9,686.76, 13,368.68 and 5,709.16 is: 7,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.76 : 13,368.68 = 5,709.16 : x
  2. Step 2: Convert to fraction form
    9,686.76/13,368.68 = 5,709.16/x
  3. Step 3: Cross multiply
    9,686.76x = 13,368.68 × 5,709.16
  4. Step 4: Simplify right side
    9,686.76x = 76,323,933.11
  5. Step 5: Solve for x
    x = 76,323,933.11/9,686.76
  6. Step 6: Final answer
    x = 7,879.20

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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.