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Finding the Fourth Proportional to 32,689, 45,111.54 and 17,785

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Solution

The fourth proportional to 32,689, 45,111.54 and 17,785 is: 24,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689 : 45,111.54 = 17,785 : x
  2. Step 2: Convert to fraction form
    32,689/45,111.54 = 17,785/x
  3. Step 3: Cross multiply
    32,689x = 45,111.54 × 17,785
  4. Step 4: Simplify right side
    32,689x = 802,308,738.90
  5. Step 5: Solve for x
    x = 802,308,738.90/32,689
  6. Step 6: Final answer
    x = 24,543.69

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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.