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Finding the Fourth Proportional to 13,070, 18,051.46 and 8,870.96

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Solution

The fourth proportional to 13,070, 18,051.46 and 8,870.96 is: 12,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 18,051.46 = 8,870.96 : x
  2. Step 2: Convert to fraction form
    13,070/18,051.46 = 8,870.96/x
  3. Step 3: Cross multiply
    13,070x = 18,051.46 × 8,870.96
  4. Step 4: Simplify right side
    13,070x = 160,133,779.60
  5. Step 5: Solve for x
    x = 160,133,779.60/13,070
  6. Step 6: Final answer
    x = 12,252.01

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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.