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Finding the Fourth Proportional to 39,358, 59,038.62 and 11,656

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Solution

The fourth proportional to 39,358, 59,038.62 and 11,656 is: 17,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,358 : 59,038.62 = 11,656 : x
  2. Step 2: Convert to fraction form
    39,358/59,038.62 = 11,656/x
  3. Step 3: Cross multiply
    39,358x = 59,038.62 × 11,656
  4. Step 4: Simplify right side
    39,358x = 688,154,154.72
  5. Step 5: Solve for x
    x = 688,154,154.72/39,358
  6. Step 6: Final answer
    x = 17,484.48

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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.