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Finding the Fourth Proportional to 14,681.16, 20,256.60 and 9,909.96

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Solution

The fourth proportional to 14,681.16, 20,256.60 and 9,909.96 is: 13,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.16 : 20,256.60 = 9,909.96 : x
  2. Step 2: Convert to fraction form
    14,681.16/20,256.60 = 9,909.96/x
  3. Step 3: Cross multiply
    14,681.16x = 20,256.60 × 9,909.96
  4. Step 4: Simplify right side
    14,681.16x = 200,742,095.74
  5. Step 5: Solve for x
    x = 200,742,095.74/14,681.16
  6. Step 6: Final answer
    x = 13,673.45

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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.