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Finding the Fourth Proportional to 21,006.66, 31,467.36 and 9,746.16

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Solution

The fourth proportional to 21,006.66, 31,467.36 and 9,746.16 is: 14,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.66 : 31,467.36 = 9,746.16 : x
  2. Step 2: Convert to fraction form
    21,006.66/31,467.36 = 9,746.16/x
  3. Step 3: Cross multiply
    21,006.66x = 31,467.36 × 9,746.16
  4. Step 4: Simplify right side
    21,006.66x = 306,685,925.34
  5. Step 5: Solve for x
    x = 306,685,925.34/21,006.66
  6. Step 6: Final answer
    x = 14,599.46

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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.