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Finding the Fourth Proportional to 13,284.64, 19,916.40 and 9,114.40

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Solution

The fourth proportional to 13,284.64, 19,916.40 and 9,114.40 is: 13,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.64 : 19,916.40 = 9,114.40 : x
  2. Step 2: Convert to fraction form
    13,284.64/19,916.40 = 9,114.40/x
  3. Step 3: Cross multiply
    13,284.64x = 19,916.40 × 9,114.40
  4. Step 4: Simplify right side
    13,284.64x = 181,526,036.16
  5. Step 5: Solve for x
    x = 181,526,036.16/13,284.64
  6. Step 6: Final answer
    x = 13,664.35

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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.