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Finding the Fourth Proportional to 19,958.76, 29,931.66 and 9,427.16

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Solution

The fourth proportional to 19,958.76, 29,931.66 and 9,427.16 is: 14,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958.76 : 29,931.66 = 9,427.16 : x
  2. Step 2: Convert to fraction form
    19,958.76/29,931.66 = 9,427.16/x
  3. Step 3: Cross multiply
    19,958.76x = 29,931.66 × 9,427.16
  4. Step 4: Simplify right side
    19,958.76x = 282,170,547.89
  5. Step 5: Solve for x
    x = 282,170,547.89/19,958.76
  6. Step 6: Final answer
    x = 14,137.68

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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.