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Finding the Fourth Proportional to 14,417.76, 19,898.28 and 8,130

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Solution

The fourth proportional to 14,417.76, 19,898.28 and 8,130 is: 11,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.76 : 19,898.28 = 8,130 : x
  2. Step 2: Convert to fraction form
    14,417.76/19,898.28 = 8,130/x
  3. Step 3: Cross multiply
    14,417.76x = 19,898.28 × 8,130
  4. Step 4: Simplify right side
    14,417.76x = 161,773,016.40
  5. Step 5: Solve for x
    x = 161,773,016.40/14,417.76
  6. Step 6: Final answer
    x = 11,220.40

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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.