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Finding the Fourth Proportional to 19,657.80, 27,127.80 and 10,705.32

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Solution

The fourth proportional to 19,657.80, 27,127.80 and 10,705.32 is: 14,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.80 : 27,127.80 = 10,705.32 : x
  2. Step 2: Convert to fraction form
    19,657.80/27,127.80 = 10,705.32/x
  3. Step 3: Cross multiply
    19,657.80x = 27,127.80 × 10,705.32
  4. Step 4: Simplify right side
    19,657.80x = 290,411,779.90
  5. Step 5: Solve for x
    x = 290,411,779.90/19,657.80
  6. Step 6: Final answer
    x = 14,773.36

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1.5x scale

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.