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Finding the Fourth Proportional to 10,397.64, 14,354.10 and 7,257

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Solution

The fourth proportional to 10,397.64, 14,354.10 and 7,257 is: 10,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.64 : 14,354.10 = 7,257 : x
  2. Step 2: Convert to fraction form
    10,397.64/14,354.10 = 7,257/x
  3. Step 3: Cross multiply
    10,397.64x = 14,354.10 × 7,257
  4. Step 4: Simplify right side
    10,397.64x = 104,167,703.70
  5. Step 5: Solve for x
    x = 104,167,703.70/10,397.64
  6. Step 6: Final answer
    x = 10,018.40

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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.