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Finding the Fourth Proportional to 12,980.61, 19,399.79 and 9,478.01

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Solution

The fourth proportional to 12,980.61, 19,399.79 and 9,478.01 is: 14,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.61 : 19,399.79 = 9,478.01 : x
  2. Step 2: Convert to fraction form
    12,980.61/19,399.79 = 9,478.01/x
  3. Step 3: Cross multiply
    12,980.61x = 19,399.79 × 9,478.01
  4. Step 4: Simplify right side
    12,980.61x = 183,871,475.81
  5. Step 5: Solve for x
    x = 183,871,475.81/12,980.61
  6. Step 6: Final answer
    x = 14,165.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.