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Finding the Fourth Proportional to 9,637.84, 14,387.30 and 8,916.40

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Solution

The fourth proportional to 9,637.84, 14,387.30 and 8,916.40 is: 13,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.84 : 14,387.30 = 8,916.40 : x
  2. Step 2: Convert to fraction form
    9,637.84/14,387.30 = 8,916.40/x
  3. Step 3: Cross multiply
    9,637.84x = 14,387.30 × 8,916.40
  4. Step 4: Simplify right side
    9,637.84x = 128,282,921.72
  5. Step 5: Solve for x
    x = 128,282,921.72/9,637.84
  6. Step 6: Final answer
    x = 13,310.34

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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.