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Finding the Fourth Proportional to 21,689.79, 32,534.70 and 8,534.98

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Solution

The fourth proportional to 21,689.79, 32,534.70 and 8,534.98 is: 12,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.79 : 32,534.70 = 8,534.98 : x
  2. Step 2: Convert to fraction form
    21,689.79/32,534.70 = 8,534.98/x
  3. Step 3: Cross multiply
    21,689.79x = 32,534.70 × 8,534.98
  4. Step 4: Simplify right side
    21,689.79x = 277,683,013.81
  5. Step 5: Solve for x
    x = 277,683,013.81/21,689.79
  6. Step 6: Final answer
    x = 12,802.48

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1.5x scale

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.