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Finding the Fourth Proportional to 12,510.90, 18,779.31 and 9,360

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Solution

The fourth proportional to 12,510.90, 18,779.31 and 9,360 is: 14,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510.90 : 18,779.31 = 9,360 : x
  2. Step 2: Convert to fraction form
    12,510.90/18,779.31 = 9,360/x
  3. Step 3: Cross multiply
    12,510.90x = 18,779.31 × 9,360
  4. Step 4: Simplify right side
    12,510.90x = 175,774,341.60
  5. Step 5: Solve for x
    x = 175,774,341.60/12,510.90
  6. Step 6: Final answer
    x = 14,049.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.