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Finding the Fourth Proportional to 15,782.60, 21,779.96 and 8,709

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Solution

The fourth proportional to 15,782.60, 21,779.96 and 8,709 is: 12,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.60 : 21,779.96 = 8,709 : x
  2. Step 2: Convert to fraction form
    15,782.60/21,779.96 = 8,709/x
  3. Step 3: Cross multiply
    15,782.60x = 21,779.96 × 8,709
  4. Step 4: Simplify right side
    15,782.60x = 189,681,671.64
  5. Step 5: Solve for x
    x = 189,681,671.64/15,782.60
  6. Step 6: Final answer
    x = 12,018.40

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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.