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Finding the Fourth Proportional to 30,358, 45,537 and 8,470

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Solution

The fourth proportional to 30,358, 45,537 and 8,470 is: 12,705

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358 : 45,537 = 8,470 : x
  2. Step 2: Convert to fraction form
    30,358/45,537 = 8,470/x
  3. Step 3: Cross multiply
    30,358x = 45,537 × 8,470
  4. Step 4: Simplify right side
    30,358x = 385,698,390
  5. Step 5: Solve for x
    x = 385,698,390/30,358
  6. Step 6: Final answer
    x = 12,705

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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.