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Finding the Fourth Proportional to 12,598.65, 17,386.85 and 7,221.98

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Solution

The fourth proportional to 12,598.65, 17,386.85 and 7,221.98 is: 9,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.65 : 17,386.85 = 7,221.98 : x
  2. Step 2: Convert to fraction form
    12,598.65/17,386.85 = 7,221.98/x
  3. Step 3: Cross multiply
    12,598.65x = 17,386.85 × 7,221.98
  4. Step 4: Simplify right side
    12,598.65x = 125,567,482.96
  5. Step 5: Solve for x
    x = 125,567,482.96/12,598.65
  6. Step 6: Final answer
    x = 9,966.74

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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.